---
_id: '18958'
abstract:
- lang: eng
  text: This workshop brought together experts on the analysis of quantum many-body
    problems and quantum statistical mechanics, with the goal of discussing the state-of-the-art
    of the field, recent developments as well as challenges for the future. The main
    topics of discussion concerned the equilibrium and dynamical behavior of (bosonic
    or fermionic) quantum gases, quantum spin systems, as well as quantum field theory
    models like the Nelson or Fröhlich model.
acknowledgement: The MFO and the workshop organizers would like to thank the National
  Science Foundation for supporting the participation of junior researchers in the
  workshop by the grant DMS-2230648, “US Junior Oberwolfach Fellows”.
article_processing_charge: No
article_type: original
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Simone
  full_name: Warzel, Simone
  last_name: Warzel
citation:
  ama: Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. <i>Oberwolfach
    Reports</i>. 2024;20(3):2247-2302. doi:<a href="https://doi.org/10.4171/owr/2023/39">10.4171/owr/2023/39</a>
  apa: Hainzl, C., Schlein, B., Seiringer, R., &#38; Warzel, S. (2024). Many-body
    quantum systems. <i>Oberwolfach Reports</i>. EMS Press. <a href="https://doi.org/10.4171/owr/2023/39">https://doi.org/10.4171/owr/2023/39</a>
  chicago: Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel.
    “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>. EMS Press, 2024. <a href="https://doi.org/10.4171/owr/2023/39">https://doi.org/10.4171/owr/2023/39</a>.
  ieee: C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,”
    <i>Oberwolfach Reports</i>, vol. 20, no. 3. EMS Press, pp. 2247–2302, 2024.
  ista: Hainzl C, Schlein B, Seiringer R, Warzel S. 2024. Many-body quantum systems.
    Oberwolfach Reports. 20(3), 2247–2302.
  mla: Hainzl, Christian, et al. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>,
    vol. 20, no. 3, EMS Press, 2024, pp. 2247–302, doi:<a href="https://doi.org/10.4171/owr/2023/39">10.4171/owr/2023/39</a>.
  short: C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 20 (2024)
    2247–2302.
date_created: 2025-01-29T13:09:28Z
date_published: 2024-04-18T00:00:00Z
date_updated: 2025-01-29T13:19:06Z
day: '18'
department:
- _id: RoSe
doi: 10.4171/owr/2023/39
intvolume: '        20'
issue: '3'
language:
- iso: eng
month: '04'
oa_version: None
page: 2247-2302
publication: Oberwolfach Reports
publication_identifier:
  eissn:
  - 1660-8941
  issn:
  - 1660-8933
publication_status: published
publisher: EMS Press
quality_controlled: '1'
status: public
title: Many-body quantum systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2024'
...
---
OA_place: publisher
OA_type: hybrid
_id: '18970'
abstract:
- lang: eng
  text: Given a smooth projective curve C, nonabelian Hodge theory gives a diffeomorphism
    between two different moduli spaces associated to C. The first is the moduli space
    of Higgs bundles on C of rank n, which is equipped with the structure of an algebraic
    completely integrable Hamiltonian system. The second is the character variety
    of representations of the fundamental group of C into GL(n). In 2012, de Cataldo,
    Hausel, and Migliorini [1] proposed the P=W conjecture which identifies the perverse
    filtration on the cohomology of the Higgs moduli space with the weight filtration
    on the cohomology of the character variety. Recently, in 2022, two independent
    proofs of the P=W Conjecture appeared, in work of Maulik &Shen [2] and Hausel,
    Mellit, Minets &Schiffmann [6]. The aim of the Arbeitsgemeinschaft was to understand
    the P=W Conjecture and these two recent proofs.
acknowledgement: "The MFO and the workshop organizers would like to thank the\r\nNational
  Science Foundation for supporting the participation of junior researchers\r\nby
  the grant DMS-2230648, “US Junior Oberwolfach Fellows”. Moreover, the\r\nMFO and
  the workshop organizers would like to thank the Oberwolfach Foundation for supporting
  the participation of junior researchers in the Arbeitsgemeinschaft."
article_processing_charge: No
article_type: original
author:
- first_name: Tamás
  full_name: Hausel, Tamás
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
  orcid: 0000-0002-9582-2634
- first_name: Davesh
  full_name: Maulik, Davesh
  last_name: Maulik
- first_name: Anton
  full_name: Mellit, Anton
  last_name: Mellit
- first_name: Olivier
  full_name: Schiffmann, Olivier
  last_name: Schiffmann
- first_name: Junliang
  full_name: Shen, Junliang
  last_name: Shen
citation:
  ama: 'Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. Arbeitsgemeinschaft: Geometry
    and representation theory around the P=W conjecture. <i>Oberwolfach Reports</i>.
    2024;21(2):949-1004. doi:<a href="https://doi.org/10.4171/owr/2024/16">10.4171/owr/2024/16</a>'
  apa: 'Hausel, T., Maulik, D., Mellit, A., Schiffmann, O., &#38; Shen, J. (2024).
    Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture.
    <i>Oberwolfach Reports</i>. EMS Press. <a href="https://doi.org/10.4171/owr/2024/16">https://doi.org/10.4171/owr/2024/16</a>'
  chicago: 'Hausel, Tamás, Davesh Maulik, Anton Mellit, Olivier Schiffmann, and Junliang
    Shen. “Arbeitsgemeinschaft: Geometry and Representation Theory around the P=W
    Conjecture.” <i>Oberwolfach Reports</i>. EMS Press, 2024. <a href="https://doi.org/10.4171/owr/2024/16">https://doi.org/10.4171/owr/2024/16</a>.'
  ieee: 'T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, and J. Shen, “Arbeitsgemeinschaft:
    Geometry and representation theory around the P=W conjecture,” <i>Oberwolfach
    Reports</i>, vol. 21, no. 2. EMS Press, pp. 949–1004, 2024.'
  ista: 'Hausel T, Maulik D, Mellit A, Schiffmann O, Shen J. 2024. Arbeitsgemeinschaft:
    Geometry and representation theory around the P=W conjecture. Oberwolfach Reports.
    21(2), 949–1004.'
  mla: 'Hausel, Tamás, et al. “Arbeitsgemeinschaft: Geometry and Representation Theory
    around the P=W Conjecture.” <i>Oberwolfach Reports</i>, vol. 21, no. 2, EMS Press,
    2024, pp. 949–1004, doi:<a href="https://doi.org/10.4171/owr/2024/16">10.4171/owr/2024/16</a>.'
  short: T. Hausel, D. Maulik, A. Mellit, O. Schiffmann, J. Shen, Oberwolfach Reports
    21 (2024) 949–1004.
date_created: 2025-01-29T15:34:22Z
date_published: 2024-05-05T00:00:00Z
date_updated: 2025-01-29T15:39:55Z
day: '05'
ddc:
- '500'
department:
- _id: TaHa
doi: 10.4171/owr/2024/16
has_accepted_license: '1'
intvolume: '        21'
issue: '2'
language:
- iso: eng
license: https://creativecommons.org/licenses/by-sa/4.0/
main_file_link:
- open_access: '1'
  url: https://doi.org/10.4171/owr/2024/16
month: '05'
oa: 1
oa_version: Published Version
page: 949-1004
publication: Oberwolfach Reports
publication_identifier:
  eissn:
  - 1660-8941
  issn:
  - 1660-8933
publication_status: published
publisher: EMS Press
quality_controlled: '1'
status: public
title: 'Arbeitsgemeinschaft: Geometry and representation theory around the P=W conjecture'
tmp:
  image: /images/cc_by_sa.png
  legal_code_url: https://creativecommons.org/licenses/by-sa/4.0/legalcode
  name: Creative Commons Attribution-ShareAlike 4.0 International Public License (CC
    BY-SA 4.0)
  short: CC BY-SA (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 21
year: '2024'
...
---
_id: '18959'
abstract:
- lang: eng
  text: This workshop continues a series of workshops whose current format originated
    in 1981 under then-organizers Moser and Zehnder, and whose latest iteration took
    place in July 2023. The general goal of this series of workshops is to discuss
    the latest developments in the field of dynamical systems, broadly construed,
    and its connections with neighboring areas of mathematics such as differential
    geometry, partial differential equations, and more recently contact and symplectic
    geometry. We continued this tradition, bringing in new participants working in
    areas of dynamical systems and its connections with other areas of mathematics
    that are currently highly active and/or showing great promise for future development.
    Key focus areas for the 2023 workshop include spectral rigidity for planar domains,
    chaotic and oscillatory motions in celestial mechanics, conformal symplectic dynamics,
    and relations between dynamics.he workshop by the grant DMS-2230648, “US Junior
    Oberwolfach Fellows”.
acknowledgement: The MFO and the workshop organizers would like to thank the National
  Science Foundation for supporting the participation of junior researchers in the
  workshop by the grant DMS-2230648, “US Junior Oberwolfach Fellows”.
article_processing_charge: No
article_type: original
author:
- first_name: Marie-Claude
  full_name: Arnaud, Marie-Claude
  last_name: Arnaud
- first_name: Michael
  full_name: Hutchings, Michael
  last_name: Hutchings
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
citation:
  ama: Arnaud M-C, Hutchings M, Kaloshin V. Dynamische Systeme. <i>Oberwolfach Reports</i>.
    2023;20(3):1671-1730. doi:<a href="https://doi.org/10.4171/owr/2023/30">10.4171/owr/2023/30</a>
  apa: Arnaud, M.-C., Hutchings, M., &#38; Kaloshin, V. (2023). Dynamische Systeme.
    <i>Oberwolfach Reports</i>. EMS Press. <a href="https://doi.org/10.4171/owr/2023/30">https://doi.org/10.4171/owr/2023/30</a>
  chicago: Arnaud, Marie-Claude, Michael Hutchings, and Vadim Kaloshin. “Dynamische
    Systeme.” <i>Oberwolfach Reports</i>. EMS Press, 2023. <a href="https://doi.org/10.4171/owr/2023/30">https://doi.org/10.4171/owr/2023/30</a>.
  ieee: M.-C. Arnaud, M. Hutchings, and V. Kaloshin, “Dynamische Systeme,” <i>Oberwolfach
    Reports</i>, vol. 20, no. 3. EMS Press, pp. 1671–1730, 2023.
  ista: Arnaud M-C, Hutchings M, Kaloshin V. 2023. Dynamische Systeme. Oberwolfach
    Reports. 20(3), 1671–1730.
  mla: Arnaud, Marie-Claude, et al. “Dynamische Systeme.” <i>Oberwolfach Reports</i>,
    vol. 20, no. 3, EMS Press, 2023, pp. 1671–730, doi:<a href="https://doi.org/10.4171/owr/2023/30">10.4171/owr/2023/30</a>.
  short: M.-C. Arnaud, M. Hutchings, V. Kaloshin, Oberwolfach Reports 20 (2023) 1671–1730.
date_created: 2025-01-29T13:19:15Z
date_published: 2023-07-09T00:00:00Z
date_updated: 2025-01-29T13:23:15Z
day: '09'
department:
- _id: VaKa
doi: 10.4171/owr/2023/30
intvolume: '        20'
issue: '3'
language:
- iso: eng
month: '07'
oa_version: None
page: 1671-1730
publication: Oberwolfach Reports
publication_identifier:
  eissn:
  - 1660-8941
  issn:
  - 1660-8933
publication_status: published
publisher: EMS Press
quality_controlled: '1'
status: public
title: Dynamische Systeme
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 20
year: '2023'
...
---
_id: '17063'
abstract:
- lang: eng
  text: This workshop continued a biannual series of workshops at Oberwolfach on dynamical
    systems that started with a meeting organized by Moser and Zehnder in 1981. Workshops
    in this series focus on new results and developments in dynamical systems and
    related areas of mathematics, with symplectic geometry playing an important role
    in recent years in connection with Hamiltonian dynamics. In this year special
    emphasis was placed on various kinds of spectra (in contact geometry, in Riemannian
    geometry, in dynamical systems and in symplectic topology) and their applications
    to dynamics.
article_processing_charge: No
article_type: original
author:
- first_name: Marie-Claude
  full_name: Arnaud, Marie-Claude
  last_name: Arnaud
- first_name: Helmut W.
  full_name: Hofer, Helmut W.
  last_name: Hofer
- first_name: Michael
  full_name: Hutchings, Michael
  last_name: Hutchings
- first_name: Vadim
  full_name: Kaloshin, Vadim
  id: FE553552-CDE8-11E9-B324-C0EBE5697425
  last_name: Kaloshin
  orcid: 0000-0002-6051-2628
citation:
  ama: Arnaud M-C, Hofer HW, Hutchings M, Kaloshin V. Dynamische Systeme. <i>Oberwolfach
    Reports</i>. 2022;18(3):1735-1803. doi:<a href="https://doi.org/10.4171/owr/2021/33">10.4171/owr/2021/33</a>
  apa: Arnaud, M.-C., Hofer, H. W., Hutchings, M., &#38; Kaloshin, V. (2022). Dynamische
    Systeme. <i>Oberwolfach Reports</i>. European Mathematical Society. <a href="https://doi.org/10.4171/owr/2021/33">https://doi.org/10.4171/owr/2021/33</a>
  chicago: Arnaud, Marie-Claude, Helmut W. Hofer, Michael Hutchings, and Vadim Kaloshin.
    “Dynamische Systeme.” <i>Oberwolfach Reports</i>. European Mathematical Society,
    2022. <a href="https://doi.org/10.4171/owr/2021/33">https://doi.org/10.4171/owr/2021/33</a>.
  ieee: M.-C. Arnaud, H. W. Hofer, M. Hutchings, and V. Kaloshin, “Dynamische Systeme,”
    <i>Oberwolfach Reports</i>, vol. 18, no. 3. European Mathematical Society, pp.
    1735–1803, 2022.
  ista: Arnaud M-C, Hofer HW, Hutchings M, Kaloshin V. 2022. Dynamische Systeme. Oberwolfach
    Reports. 18(3), 1735–1803.
  mla: Arnaud, Marie-Claude, et al. “Dynamische Systeme.” <i>Oberwolfach Reports</i>,
    vol. 18, no. 3, European Mathematical Society, 2022, pp. 1735–803, doi:<a href="https://doi.org/10.4171/owr/2021/33">10.4171/owr/2021/33</a>.
  short: M.-C. Arnaud, H.W. Hofer, M. Hutchings, V. Kaloshin, Oberwolfach Reports
    18 (2022) 1735–1803.
corr_author: '1'
date_created: 2024-05-29T06:01:19Z
date_published: 2022-11-26T00:00:00Z
date_updated: 2024-08-06T07:28:50Z
day: '26'
department:
- _id: VaKa
doi: 10.4171/owr/2021/33
intvolume: '        18'
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.doi.org/10.4171/OWR/2021/33
month: '11'
oa: 1
oa_version: Published Version
page: 1735-1803
publication: Oberwolfach Reports
publication_identifier:
  eissn:
  - 1660-8941
  issn:
  - 1660-8933
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
scopus_import: '1'
status: public
title: Dynamische Systeme
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 18
year: '2022'
...
---
_id: '15070'
abstract:
- lang: eng
  text: This workshop focused on interactions between the various perspectives on
    the moduli space of Higgs bundles over a Riemann surface. This subject draws on
    algebraic geometry, geometric topology, geometric analysis and mathematical physics,
    and the goal was to promote interactions between these various branches of the
    subject. The main current directions of research were well represented by the
    participants, and the talks included many from both senior and junior participants.
article_processing_charge: No
article_type: original
author:
- first_name: Lara
  full_name: Anderson, Lara
  last_name: Anderson
- first_name: Tamás
  full_name: Hausel, Tamás
  id: 4A0666D8-F248-11E8-B48F-1D18A9856A87
  last_name: Hausel
- first_name: Rafe
  full_name: Mazzeo, Rafe
  last_name: Mazzeo
- first_name: Laura
  full_name: Schaposnik, Laura
  last_name: Schaposnik
citation:
  ama: Anderson L, Hausel T, Mazzeo R, Schaposnik L. Geometry and physics of Higgs
    bundles. <i>Oberwolfach Reports</i>. 2020;16(2):1357-1417. doi:<a href="https://doi.org/10.4171/owr/2019/23">10.4171/owr/2019/23</a>
  apa: Anderson, L., Hausel, T., Mazzeo, R., &#38; Schaposnik, L. (2020). Geometry
    and physics of Higgs bundles. <i>Oberwolfach Reports</i>. European Mathematical
    Society. <a href="https://doi.org/10.4171/owr/2019/23">https://doi.org/10.4171/owr/2019/23</a>
  chicago: Anderson, Lara, Tamás Hausel, Rafe Mazzeo, and Laura Schaposnik. “Geometry
    and Physics of Higgs Bundles.” <i>Oberwolfach Reports</i>. European Mathematical
    Society, 2020. <a href="https://doi.org/10.4171/owr/2019/23">https://doi.org/10.4171/owr/2019/23</a>.
  ieee: L. Anderson, T. Hausel, R. Mazzeo, and L. Schaposnik, “Geometry and physics
    of Higgs bundles,” <i>Oberwolfach Reports</i>, vol. 16, no. 2. European Mathematical
    Society, pp. 1357–1417, 2020.
  ista: Anderson L, Hausel T, Mazzeo R, Schaposnik L. 2020. Geometry and physics of
    Higgs bundles. Oberwolfach Reports. 16(2), 1357–1417.
  mla: Anderson, Lara, et al. “Geometry and Physics of Higgs Bundles.” <i>Oberwolfach
    Reports</i>, vol. 16, no. 2, European Mathematical Society, 2020, pp. 1357–417,
    doi:<a href="https://doi.org/10.4171/owr/2019/23">10.4171/owr/2019/23</a>.
  short: L. Anderson, T. Hausel, R. Mazzeo, L. Schaposnik, Oberwolfach Reports 16
    (2020) 1357–1417.
date_created: 2024-03-04T11:36:31Z
date_published: 2020-06-04T00:00:00Z
date_updated: 2024-03-11T09:20:34Z
day: '04'
department:
- _id: TaHa
doi: 10.4171/owr/2019/23
intvolume: '        16'
issue: '2'
keyword:
- Organic Chemistry
- Biochemistry
language:
- iso: eng
month: '06'
oa_version: None
page: 1357-1417
publication: Oberwolfach Reports
publication_identifier:
  issn:
  - 1660-8933
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
status: public
title: Geometry and physics of Higgs bundles
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '15072'
abstract:
- lang: eng
  text: The interaction among fundamental particles in nature leads to many interesting
    effects in quantum statistical mechanics; examples include superconductivity for
    charged systems and superfluidity in cold gases. It is a huge challenge for mathematical
    physics to understand the collective behavior of systems containing a large number
    of particles, emerging from known microscopic interactions. In this workshop we
    brought together researchers working on different aspects of many-body quantum
    mechanics to discuss recent developments, exchange ideas and propose new challenges
    and research directions.
article_processing_charge: No
article_type: original
author:
- first_name: Christian
  full_name: Hainzl, Christian
  last_name: Hainzl
- first_name: Benjamin
  full_name: Schlein, Benjamin
  last_name: Schlein
- first_name: Robert
  full_name: Seiringer, Robert
  id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
  last_name: Seiringer
  orcid: 0000-0002-6781-0521
- first_name: Simone
  full_name: Warzel, Simone
  last_name: Warzel
citation:
  ama: Hainzl C, Schlein B, Seiringer R, Warzel S. Many-body quantum systems. <i>Oberwolfach
    Reports</i>. 2020;16(3):2541-2603. doi:<a href="https://doi.org/10.4171/owr/2019/41">10.4171/owr/2019/41</a>
  apa: Hainzl, C., Schlein, B., Seiringer, R., &#38; Warzel, S. (2020). Many-body
    quantum systems. <i>Oberwolfach Reports</i>. European Mathematical Society. <a
    href="https://doi.org/10.4171/owr/2019/41">https://doi.org/10.4171/owr/2019/41</a>
  chicago: Hainzl, Christian, Benjamin Schlein, Robert Seiringer, and Simone Warzel.
    “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>. European Mathematical
    Society, 2020. <a href="https://doi.org/10.4171/owr/2019/41">https://doi.org/10.4171/owr/2019/41</a>.
  ieee: C. Hainzl, B. Schlein, R. Seiringer, and S. Warzel, “Many-body quantum systems,”
    <i>Oberwolfach Reports</i>, vol. 16, no. 3. European Mathematical Society, pp.
    2541–2603, 2020.
  ista: Hainzl C, Schlein B, Seiringer R, Warzel S. 2020. Many-body quantum systems.
    Oberwolfach Reports. 16(3), 2541–2603.
  mla: Hainzl, Christian, et al. “Many-Body Quantum Systems.” <i>Oberwolfach Reports</i>,
    vol. 16, no. 3, European Mathematical Society, 2020, pp. 2541–603, doi:<a href="https://doi.org/10.4171/owr/2019/41">10.4171/owr/2019/41</a>.
  short: C. Hainzl, B. Schlein, R. Seiringer, S. Warzel, Oberwolfach Reports 16 (2020)
    2541–2603.
date_created: 2024-03-04T11:46:12Z
date_published: 2020-09-10T00:00:00Z
date_updated: 2024-03-12T12:02:00Z
day: '10'
department:
- _id: RoSe
doi: 10.4171/owr/2019/41
intvolume: '        16'
issue: '3'
language:
- iso: eng
month: '09'
oa_version: None
page: 2541-2603
publication: Oberwolfach Reports
publication_identifier:
  issn:
  - 1660-8933
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
status: public
title: Many-body quantum systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...
---
_id: '15079'
abstract:
- lang: eng
  text: "Large complex systems tend to develop universal patterns that often represent
    their essential characteristics. For example, the cumulative effects of independent
    or weakly dependent random variables often yield the Gaussian universality class
    via the central limit theorem. For non-commutative random variables, e.g. matrices,
    the Gaussian behavior is often replaced by another universality class, commonly
    called random matrix statistics. Nearby eigenvalues are strongly correlated, and,
    remarkably, their correlation structure is universal, depending only on the symmetry
    type of the matrix. Even more surprisingly, this feature is not restricted to
    matrices; in fact Eugene Wigner, the pioneer of the field, discovered in the 1950s
    that distributions of the gaps between energy levels of complicated quantum systems
    universally follow the same random matrix statistics. This claim has never been
    rigorously proved for any realistic physical system but experimental data and
    extensive numerics leave no doubt as to its correctness. Since then random matrices
    have proved to be extremely useful phenomenological models in a wide range of
    applications beyond quantum physics that include number theory, statistics, neuroscience,
    population dynamics, wireless communication and mathematical finance. The ubiquity
    of random matrices in natural sciences is still a mystery, but recent years have
    witnessed a breakthrough in the mathematical description of the statistical structure
    of their spectrum. Random matrices and closely related areas such as log-gases
    have become an extremely active research area in probability theory.\r\nThis workshop
    brought together outstanding researchers from a variety of mathematical backgrounds
    whose areas of research are linked to random matrices. While there are strong
    links between their motivations, the techniques used by these researchers span
    a large swath of mathematics, ranging from purely algebraic techniques to stochastic
    analysis, classical probability theory, operator algebra, supersymmetry, orthogonal
    polynomials, etc."
article_processing_charge: No
article_type: original
author:
- first_name: László
  full_name: Erdös, László
  id: 4DBD5372-F248-11E8-B48F-1D18A9856A87
  last_name: Erdös
  orcid: 0000-0001-5366-9603
- first_name: Friedrich
  full_name: Götze, Friedrich
  last_name: Götze
- first_name: Alice
  full_name: Guionnet, Alice
  last_name: Guionnet
citation:
  ama: Erdös L, Götze F, Guionnet A. Random matrices. <i>Oberwolfach Reports</i>.
    2020;16(4):3459-3527. doi:<a href="https://doi.org/10.4171/owr/2019/56">10.4171/owr/2019/56</a>
  apa: Erdös, L., Götze, F., &#38; Guionnet, A. (2020). Random matrices. <i>Oberwolfach
    Reports</i>. European Mathematical Society. <a href="https://doi.org/10.4171/owr/2019/56">https://doi.org/10.4171/owr/2019/56</a>
  chicago: Erdös, László, Friedrich Götze, and Alice Guionnet. “Random Matrices.”
    <i>Oberwolfach Reports</i>. European Mathematical Society, 2020. <a href="https://doi.org/10.4171/owr/2019/56">https://doi.org/10.4171/owr/2019/56</a>.
  ieee: L. Erdös, F. Götze, and A. Guionnet, “Random matrices,” <i>Oberwolfach Reports</i>,
    vol. 16, no. 4. European Mathematical Society, pp. 3459–3527, 2020.
  ista: Erdös L, Götze F, Guionnet A. 2020. Random matrices. Oberwolfach Reports.
    16(4), 3459–3527.
  mla: Erdös, László, et al. “Random Matrices.” <i>Oberwolfach Reports</i>, vol. 16,
    no. 4, European Mathematical Society, 2020, pp. 3459–527, doi:<a href="https://doi.org/10.4171/owr/2019/56">10.4171/owr/2019/56</a>.
  short: L. Erdös, F. Götze, A. Guionnet, Oberwolfach Reports 16 (2020) 3459–3527.
date_created: 2024-03-05T07:54:44Z
date_published: 2020-11-19T00:00:00Z
date_updated: 2024-03-12T12:25:18Z
day: '19'
department:
- _id: LaEr
doi: 10.4171/owr/2019/56
intvolume: '        16'
issue: '4'
language:
- iso: eng
month: '11'
oa_version: None
page: 3459-3527
publication: Oberwolfach Reports
publication_identifier:
  issn:
  - 1660-8933
publication_status: published
publisher: European Mathematical Society
quality_controlled: '1'
status: public
title: Random matrices
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 16
year: '2020'
...