Viewing archives for Clay Research Conference

2024 Clay Research Conference and Workshops

The 2024 Clay Research Conference will be held on Wednesday, 2 October in L1 of the Andrew Wiles Building.

Schedule

10:00 Ana Caraiani (Imperial), The cohomology of Shimura varieties – a survey of recent developments

11:00 Coffee

11:30 Mark Andrea de Cataldo (Stony Brook), The P=W Conjecture in Non Abelian Hodge Theory

12:30 Lunch

14:00 Timothy Gowers (Cambridge), Some recent developments in combinatorics

15:00 Coffee

15:30 Rahul Pandharipande (ETH Zürich), Cycles on the moduli space of abelian varieties (slides)

16:30 Chandrashekhar Khare (UCLA), The work of James Newton and Jack Thorne

16:50 Philippe Michel (EPFL), The work of Paul Nelson

17:15 Thomas Clay, Presentation of the 2024 Clay Research Awards to James Newton and Jack Thorne, and to Paul Nelson

17:30 Reception, South Mezzanine

Conference Workshops

Associated workshops will be held during the week of the conference, 30 September-4 October, pausing on Wednesday, 2 October for the research conference. More information about the workshops will be added as it becomes available.

New Advances in the Langlands Program: Geometry and Arithmetic
Organisers: Ana Caraiani (Imperial), James Newton (Oxford), Chandrashekhar Khare (UCLA)

New Frontiers in Probabilistic and Extremal Combinatorics
Organisers: Noga Alon (Princeton), Jacob Fox (Stanford), Huy Tuan Pham (Stanford)

The P=W Conjecture in Non Abelian Hodge Theory
Organisers: Mark Andrea de Cataldo (Stony Brook), Tamas Hausel (IST Austria)

Registration: Registration for the Clay Research Conference is free but required.  Participation in the workshops is by invitation, but a limited number of additional places is available.  To register for the Clay Research Conference or to register interest in a workshop, please email Naomi Kraker, providing the name of your institution and stating which workshop you wish to attend. Students please also provide a letter of reference from your supervisor.  Registration is now closed.

HOTEL SCAM ALERT:  Some speakers may be contacted via email or telephone by Travellerpoint.org or similar.  Please be advised that we use no external organizing service.  All emails regarding the conference and workshops will be sent by CMI or a workshop organizer. 

Details

Venue: Mathematical Institute, University of Oxford

Downloads

Abstracts

2023 Clay Research Conference and Workshops

The 2023 Clay Research Conference will be held on Wednesday, 27 September in L1 of the Andrew Wiles Building.  

Schedule

10:00 Valentin Blomer (Bonn), Density theorems and applications

11:00 Coffee

11:30 John Pardon (Stony Brook), Derived moduli spaces of pseudo-holomorphic curves

12:30 Lunch

14:00 Laure Saint Raymond (IHES), What does entropy measure?

15:00 Coffee

15:30 Chenyang Xu (Princeton), Kähler-Einstein metric, K-stability and moduli spaces

16:30 Ivan Smith (Cambridge), The work of John Pardon

16:50 Isabelle Gallagher (ENS Paris), The work of Frank Merle, Pierre Raphaël, Igor Rodnianski, and Jérémie Szeftel

17:15 Thomas Clay, Presentation of the 2022 Clay Research Award to John Pardon and 2023 Clay Research Awards to Frank Merle, Pierre Raphaël, Igor Rodnianski, and Jérémie Szeftel

17:30 Reception, South Mezzanine

Conference Workshops

Associated workshops will be held during the week of the conference, 25-29 September.  The workshops will pause on Wednesday, 27 September for the conference.

About Entropy in Large Classical Particle Systems
Organizers:  Thierry Bodineau (IHES), Pierre-Emmanuel Jabin (Penn State), Sylvia Serfaty (NYU), Laure Saint Raymond (IHES), Sergio Simonella (Roma)

K-stability and Birational Geometry
Organizers:  Ivan Cheltsov (Edinburgh), János Kollár (Princeton), Chenyang Xu (Princeton)

New Perspectives in the Analytic Theory of Automorphic Forms
Organizers:  Valentin Blomer (Bonn), Farrell Brumley (Paris), Peter Sarnak (IAS and Princeton)

Symplectic Geometry, Low Dimensional Topology, and Quantum Fields
Organizers:  Tobias Ekholm (Uppsala), John Pardon (Stony Brook)

Registration for the Clay Research Conference is free but required.  Participation in the workshops is by invitation, but a limited number of additional places is available.  To register for the Clay Research Conference or to register interest in a workshop, please email Naomi Kraker, providing the name of your institution and stating which workshop you wish to attend. Students please also provide a letter of reference from your supervisor.  

HOTEL SCAM ALERT:  Some speakers may be contacted via email or telephone by Travellerpoint.org or similar.  Please be advised that we use no external organizing service.  All emails regarding the conference and workshops will be sent by CMI or a workshop organizer. 

Details

Venue: Mathematical Institute, University of Oxford

Downloads

Schedule Abstracts

2013 Clay Research Conference and Workshops

Speakers

Peter Constantin (Princeton): On the Navier-Stokes Equations (Video)

Lance Fortnow (Georgia Institute of Technology): A Personal View of the P versus NP Problem (Video)

Fernando Rodriguez Villegas (Austin): The Birch—Swinnerton–Dyer Conjecture: a Status Report  (Video)

Edward Witten  (Institute for Advanced Study, Princeton): 
A New Look at the Jones Polynomial of a Knot (Video)

Richard Thomas (Imperial College): The Clay Research Award (Video)

Ingrid Daubechies (Duke University): Animation, Teeth and Skeletons (Video)

The Clay Research Award was presented to Rahul Pandharipande.  Richard Thomas (Imperial College) spoke about Pandharipande’s work.

Associated workshops were held during the week September 29-October 4, 2013:

The Navier Stokes Equations and Related Topics

New Insights into Computational Intractability

Number Theory and Physics

Quantum Mathematics and Computation

Details

Venue: Mathematical Institute, University of Oxford

2014 Clay Research Conference and Workshops

Speakers

Jonathan Pila, The Schanuel paradigm (video)
Scott Sheffield, Chinese dragons and mating trees (video)
Paul Seidel, Steenrod squares and symplectic fixed points (video)
Ben Green, Higher-order Fourier analysis and applications (video)
Michael Rapoport, Presentation of the Clay Research Award (video)

Associated workshops will be held during the week September 28 – October 3, 2014:

  • Advances in Probability: Integrability, Universality and Beyond
  • Functional Transcendence around Ax-Schanuel
  • Symplectic Topology
  • Analytic Number Theory

Details

Venue: Mathematical Institute, University of Oxford

2015 Clay Research Conference and Workshops

The speakers at the 2015 Clay Research Conference on Wednesday, 30 September will be

Charles Fefferman (Princeton)
Mike Hopkins (Harvard)
Maryam Mirzakhani (Stanford)
Andrei Okounkov (Columbia)
Peter Scholze (Bonn)

Associated workshops will be held during the week, 28 September – 2 October.

Algebraic Topology: Manifolds Unlocking Higher Structures Mike Hopkins, Ulrike Tillmann
Geometry and Dynamics on Moduli Spaces Alex Eskin, Giovanni Forni, Anton Zorich
Motives and Automorphic Forms Minhyong Kim, Peter Scholze
Water Waves and Related Fluid Models Alex Ionescu, Steve Shkoller

The 2014 Clay Research Award will be presented to Maryam Mirzakhani for her many significant contributions to geometry and ergodic theory.  The recipient of the 2015 Clay Research Award will also be announced.

Details

Venue: Mathematical Institute, University of Oxford

2016 Clay Research Conference and Workshops

The speakers at the 2016 Clay Research Conference on Wednesday, 28 September will be

David Ben-Zvi (University of Texas, Austin): Representation Theory as Gauge Theory (Video) (Slides)
Manjul Bhargava (Princeton): What is the Birch and Swinnerton-Dyer Conjecture, and what is known about it? (Video)
Bill Minicozzi (MIT): The mean curvature flow (Video)
János Kollár (Princeton): Celestial surfaces and quadratic forms (Video)

Associated workshops will be held during the week, 26-30 September:

  • Recent Developments on Elliptic Curves
  • Mean Curvature Flow
  • Geometric Representation Theory and Beyond
  • Algebraic Geometry: Old and New

The 2016 Clay Research Awards will be presented at the Research Conference on 28 September.

Details

Venue: Mathematical Institute, University of Oxford

2017 Clay Research Conference and Workshops

The 2017 Clay Research Confrence will be held on Wednesday 27 September.  The Plenary speakers are:

Larry Guth (MIT)
 Introduction to decoupling (video)

Bertrand Toën (CNRS)
 Algebraic geometry, categories and trace formulas
 (video)

Ovidiu Savin (Columbia) From second order equations to nonlocal PDEs (video)

Carlos Kenig (Chicago) The work of Aleksandr Logunov and Eugenia Malinnikova (video)

Tamar Ziegler (Hebrew University) Dynamics, arithmetic progressions and approximate cohomology (video)

Henry Cohn (Microsoft and MIT)
 The work of Maryna Viazovska (video)

Lecture summaries

Larry Guth
Bertrand Toën
Ovidiu Savin
Tamar Ziegler

Associated workshops will be held during the week, 24-29 September:

Details

Venue: Mathematical Institute, University of Oxford

CMI at 20

The Clay Mathematics Institute grew out of Landon T. Clay’s longstanding belief in the centrality of mathematical knowledge to human progress, culture, and intellectual life.  Founded twenty years ago, it came into existence with its incorporation in the USA on September 25, 1998 .

To celebrate its many contributions to the international mathematics community over two decades, CMI will hold a special conference highlighting the outstanding achievements of its research fellows, award winners, and others whom it has supported.

Speakers
Manjul Bhargava (Princeton) The density of polynomials having squarefree discriminant
Ben Green (Oxford) The anatomy of integers and permutations (video)
John Morgan (Simons Center) Perelman’s work on the Poincaré Conjecture and geometrization of 3-manifolds (video)
Ngô Bao Châu (Chicago) On the Hankel transformation and functional equation of automorphic L-functions (video)
Andrei Okounkov (Columbia) Characters and difference equations (video)
John Pardon (Princeton) Smoothing finite group acitons on three-manifolds (video)
Peter Scholze (Bonn) p-adic geometry (video)
Stanislav Smirnov (Geneva) Percolation crossings and complex analysis (video)
Claire Voisin (Collège de France) New results on rationality questions (video)
Wendelin Werner (ETH) The work of Jason Miller and Scott Sheffield (video)
Andrew Wiles (Oxford) Twenty years of the Birch Swinnerton-Dyer conjecture (video)

Details

Venue: Mathematical Institute, University of Oxford

2019 Clay Research Conference and Workshops

The Clay Research Conference will be held on Wednesday, 2 October.  The plenary speakers are:

Benedict Gross (UCSD), On the conjectures of Gan, Gross, and Prasad (video)

Alexander Lubotzky (HUJ), First order rigidity of high-rank arithmetic groups (video)

Oscar Randal-Williams (Cambridge), Cohomology of moduli spaces (video)

Geordie Williamson (Sydney), Challenges in modular representation theory (video)

Conference Workshops

Associated workshops will be held during the week 29 September-4 October; see the links below.

29 September – 3 October
Beyond Spectral Gaps
Organizers:  Emmanuel Breuillard (Cambridge) and Assaf Naor (Princeton)

30 September – 4 October
Modular Representation Theory
Organizers:  Geordie Williamson (Sydney), Ivan Losev (Northeastern), Matthew Emerton (Chicago)

Patterns in Cohomology of Moduli Spaces
Organizers: Søren Galatius (Copenhagen) and Oscar Randal-Williams (Cambridge)

Periods, Representations, and Arithmetic: Recent Advances on the Gan-Gross-Prasad Conjectures and their Applications
Organizers:  Christopher Skinner (Princeton) and Wei Zhang (MIT)

Details

Venue: Mathematical Institute, University of Oxford

2021 Clay Research Conference

Schedule

13:30    László Székelyhidi (IAS, Leipzig), Convex Integration and Synthetic Turbulence (Video)
16:00    Edward Witten (IAS), Gauge Theory and the Analytic Approach to Geometric Langlands (Video)
17:10    Camillo DeLellis (IAS), The Works of Buckmaster, Isett and Vicol in Incompressible Fluid Dynamics (Video)
                 Thomas Clay, Presentation of the Clay Research Award to Tristan Buckmaster, Philip Isett and Vlad Vicol.

Image: Eecc, Wikimedia Commons

Details

Venue: Online from the Institute of Advanced Study

2022 Clay Research Conference

The 2022 Clay Research Conference will be held on Wednesday, 28 September.  The plenary speakers are:

  • Bhargav Bhatt, University of Michigan
  • Kevin Costello, Perimeter Institute
  • Igor Rodnianski, Princeton University
  • Jacob Tsimerman, University of Toronto

Conference Workshops

Associated workshops will be held during the week of the conference, 26-30 September.  The workshops will pause on Wednesday, 28 September for the conference.

p-adic Hodge Theory and Applications (26-30 September)
Organizers:  Bhargav Bhatt (Michigan), Akhil Mathew (Chicago)

Stability and Instability in General Relativity (26-30 September)
Organizers:  Mihalis Dafermos (Cambridge), Elena Giorgi (Columbia), Igor Rodnianski (Princeton)

O-minimality and Diophantine Geometry (26-30 September)
Organizers:  Gareth Jones (Warwick), Alex Wilkie (Manchester and Oxford)

Physics from the Point of View of Geometry (29-30 September)
Organizer:  Ulrike Tillmann (INI and Oxford), Mike Hopkins (Harvard)

Registration for the Clay Research Conference is free but required.  Participation in the workshops is by invitation, but a limited number of additional places is available.  To register for the Clay Research Conference or to register interest in a workshop, please email Naomi Kraker, providing the name of your institution and stating which workshop you wish to attend. Students please also provide a letter of reference from your supervisor.  

Details

Venue: University of Oxford