BUNDLES and
CONFORMAL BLOCKS
with a TWIST
13 - 17 June 2022
ICMS Edinburgh
In the past decades, the theory of moduli spaces of bundles over algebraic curves has played a central role in various branches of mathematics, with deep ties to very active areas such as topological field theories, the Langlands program, and representation theory of affine Lie algebras.
A crucial ingredient that unifies several refinements of the theory came into focus recently: torsors for parahoric Bruhat-Tits group schemes. This gives a uniform approach to level structures, parabolic bundles, prym varieties, and the structures underlying twisted confomal blocks from conformal field theory.
The last few years have seen the start of a systematic study of these matters, involving different communities of researchers and areas of interest. This conference is the first activity of its kind focused on this development.
Speakers
Introductory Mini-Course on Parahoric Torsors:
Jochen Heinloth Universität Duisburg-Essen
Research Talks:
Jørgen Andersen Syddansk Universitet
Thomas Baier IST, Lisboa
Vikram Balaji Chennai Mathematical Institute
Prakash Belkale University of North Carolina at Chapel Hill
Philip Boalch Université Paris-Sud
Arzu Boysal Bogazici University
Emily Cliff University of Sidney
Tanmay Deshpande Tata Institute for Fundamental Research
Angela Gibney University of Pennsylvania
Jiuzu Hong University of North Carolina at Chapel Hill
Marina Logares Universidad Computense
Christian Pauly Université Nice Sophia Antipolis
Ana Peón-Nieto University of Birmingham
Michael Rapoport Universität Bonn
Matt Szczesny Boston University
Constantin Teleman University of California, Berkeley
Olga Trapeznikova Université de Genève
Katrin Wendland Trinity College, Dublin
Richard Wentworth University of Maryland
Organizers
Chiara Damiolini University of Pennsylvania
Johan Martens Edinburgh University
Swarnava Mukhopadhyay Tata Institute for Fundamental Research
Scientific Committee
Iain Gordon Edinburgh University
Jochen Heinloth Universität Duisburg-Essen
Frances Kirwan University of Oxford
Shrawan Kumar University of North Carolina at Chapel Hill
Schedule
Printable timetable and programme (with abstracts)
June 13 | ||
|---|---|---|
09:00 - 10:00 | Registration | |
10:00 - 10:10 | Opening remarks | |
10:10 - 11:00 | Jochen Heinloth | Minicourse: Introduction to parahoric torsors |
11:00 - 11:30 | Coffee/Tea | |
11:30 - 12:20 | Jochen Heinloth | Minicourse: Introduction to parahoric torsors |
12:20 - 14:00 | Lunch | |
14:00 - 14:50 | Prakash Belkale | Rigid local systems and the multiplicative eigenvalue problem |
15:00 - 15:50 | Michael Rapoport | Purity for $\mathcal G$-bundles |
15:50 - 16:10 | Coffee/Tea | |
16:10 - 17:00 | Thomas Baier | On Hitchin's connection |
17:00 - 18:00 | Reception | at ICMS provided by Blue Sky Catering |
June 14 | ||
|---|---|---|
09:30 - 10:20 | Jochen Heinloth | Minicourse: Introduction to parahoric torsors |
10:20 - 10:50 | Coffee/Tea | |
10:50 - 11:40 | Jochen Heinloth | Minicourse: Introduction to parahoric torsors |
11:50 - 12:40 | Richard Wentworth | The Hitchin connection for parabolic G-bundles |
12:40 - 14:00 | Lunch | |
14:00 - 14:50 | Vikraman Balaji | Degeneration of G-torsors and Bruhat-Tits group schemes |
14:50 - 15:20 | Coffee/Tea | |
15:20 - 16:10 | Constantin Teleman | Higher Verlinde formula and Mirror symmetry |
16:30 - 17:30 | Whisky tasting | at ICMS – Provided by Whiski Rooms |
June 15 | ||
|---|---|---|
09:30 - 10:20 | Emily Cliff | Moduli spaces of principal 2-group bundles and a categorification of the Freed--Quinn line bundle |
10:20 - 10:50 | Coffee/Tea | |
10:50 - 11:40 | Olga Trapeznikova | The Verlinde formula and K-theory of the moduli space of parabolic vector bundles |
11:50 - 12:40 | Jørgen Ellegaard Andersen | Generalized Hitchin Connections with applications to quantization of Moduli Space of parabolic vector bundles |
12:40 - 14:00 | Lunch | |
14:00 -14:50 | Philip Boalch | Diagrams, fission spaces and global Lie theory |
14:50 - 15:20 | Coffee/Tea | |
15:20 - 16:10 | Ana Peón-Nieto | Geometry of wobbly bundles |
June 16 | ||
|---|---|---|
09:30 - 10:20 | Marina Logares | Assorted Hitchin integrable systems |
10:20 - 10:50 | Coffee/Tea | |
10:50 - 11:40 | Tanmay Deshpande | Crossed modular categories and the Verlinde formula for twisted conformal blocks |
11:50 - 12:40 | Angela Gibney | Vector bundles of VOA conformal blocks on the moduli space of stable pointed curves of genus g |
12:40 - 14:00 | Lunch | |
14:00 - 14:50 | Jiuzu Hong | Twisted conformal blocks and their dimension |
14:50 - 15:20 | Coffee/Tea | |
15:20 - 16:10 | Katrin Wendland | SU(2) channels the cancellation of K3 BPS states |
18:00 - 20:00 | Conference dinner | at Blonde, 71-75 St. Leonard's St. Edinburgh |
June 17 | ||
|---|---|---|
09:30 - 10:20 | Arzu Boysal | Volumes of moduli spaces of flat bundles over surfaces and the Verlinde formula |
10:20 - 10:50 | Coffee/Tea | |
10:50 - 11:40 | Maciej Szczesny | Conformal blocks for complex surfaces and beyond |
11:50 - 12:40 | Christian Pauly | The Prym-Hitchin connection |
Information about ICMS
The conference will take place at The Bayes Centre, in Edinburgh.
There is also an official ICMS Conference Page.
For more information about ICMS, you can visit this page.
With the support of
