09:15 AM - 09:30 AM
|
|
Welcome to MSRI
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
09:30 AM - 10:30 AM
|
|
Co-Higgs bundles on Poisson surfaces
Ruxandra Moraru (University of Waterloo)
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
- Abstract
Co-Higgs bundles on a complex manifold $M$ are given by pairs $(E,\phi)$ consisting of a holomorphic vector bundle $E$ on $M$ together with a Higgs field $\phi \in H^0(M,\rm{End}(E) \otimes TM)$ that satisfies certain integrability conditions. In particular, co-Higgs bundles correspond to generalized holomorphic bundles on complex manifolds. They also give rise to a special class of holomorphic Poisson structures on the projective bundles $\mathbb{P}(E)$. Co-Higgs bundles were first studied by S. Rayan on Riemann surfaces and $\mathbb{CP}^2$ in his thesis, where he also gave a non-existence theorem for stable, traceless rank-2 co-Higgs bundles on K3 and general-type surfaces. In this talk, we consider co-Higgs bundles on compact holomorphic Poisson surfaces. We give necessary and sufficient conditions for the existence of stable, traceless rank-2 co-Higgs bundles on all compact holomorphic Poisson surfaces as well as a complete classification of such bundles on some of these surfaces.
- Supplements
-
--
|
10:30 AM - 11:00 AM
|
|
Coffee Break
|
- Location
- SLMath: Atrium
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
11:00 AM - 12:00 PM
|
|
An A-infinity category from instantons
Sherry Gong (Texas A & M University)
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
- Abstract
Given n points on a disk, we will describe how to build an A-infinity category based on the instanton Floer complex of links, and explain why it is finitely generated. This is based on work in progress with Ko Honda.
- Supplements
-
--
|
12:00 PM - 12:30 PM
|
|
Mentoring Session
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
12:30 PM - 02:00 PM
|
|
Lunch
|
- Location
- --
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
02:00 PM - 03:00 PM
|
|
BPS Invariant from Non Archimedean Integrals
Francesca Carocci (École Polytechnique Fédérale de Lausanne (EPFL))
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
- Abstract
Moduli spaces of (meromorphic) Higgs bundles and moduli spaces of one dimensional sheaves on surfaces with positive (or trivial) anti-canonical bundle can be interpreted as moduli of stable sheaves on non compact CY3 varieties. From this prospective, the so called BPS invariants for these moduli spaces have an interpretation in terms of curve counting on the CY3. This in turn imply that certain relations among the BPS invariants are to be expected.
Extending the framework of Batyrev’s Theorem, we work over a non Archimedean field F and define a natural measure on the F-points of such moduli spaces.
We then prove that the integral of a naturally defined function on the moduli space (with respect to the constructed measure) is independent of the Euler characteristic. This independence is the expected property for BPS invariants.
This is a joint work with Giulio Orecchia and Dimitri Wyss.
- Supplements
-
--
|
03:00 PM - 03:30 PM
|
|
Tea Break
|
- Location
- --
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
03:30 PM - 04:30 PM
|
|
Panel
Francesca Carocci (École Polytechnique Fédérale de Lausanne (EPFL)), Laura Fredrickson (University of Oregon), Marina Logares (Universidad Complutense de Madrid), Ruxandra Moraru (University of Waterloo), Laura Schaposnik (University of Illinois at Chicago)
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
04:30 PM - 06:30 PM
|
|
Discussion Time
|
- Location
- SLMath: Eisenbud Auditorium, Online/Virtual
- Video
-
--
- Abstract
- --
- Supplements
-
--
|
06:30 PM - 08:00 PM
|
|
MSRI Dinner
|
- Location
- --
- Video
-
--
- Abstract
- --
- Supplements
-
--
|