Mirror Symmetry Seminar

The Mirror Symmetry seminar series will be held Fridays from 11:00am-12:00pm in Science Center 530.

The schedule will be updated below as details are confirmed.


Date……… Speaker Title/Abstract
1-26-2018 Matthew Young

(Chinese University of Hong Kong)

Algebra and geometry of orientifold Donaldson-Thomas theory

Abstract: This talk will be an overview of the orientifold Donaldson-Thomas theory of quivers. Roughly speaking, orientifold Donaldson-Thomas theory is a counting theory for principal orthogonal or symplectic bundles in three dimensional Calabi-Yau categories. I will explain an approach via geometrically defined representations of cohomological Hall algebras. In this way we are able to categorify the orientifold wall-crossing formula appearing in the string theory literature, formulate and prove an orientifold variant of the integrality conjecture of Kontsevich-Soibelman and give a geometric interpretation of orientifold Donaldson-Thomas invariants

2-2-2018 Minxian Zhu

(Yau Mathematical Sciences Center, Tsinghua University)

On the hyperplane conjecture for periods of Calabi-Yau hypersurfaces in P^n

Abstract: Hosono, Lian, and Yau made a conjecture in the 90s describing the solutions to the Gelfand-Kapranov-Zelevinsky hypergeometric equations which arise as periods of CY hypersurfaces in a Gorenstein Fano toric variety. We will prove this conjecture for projective spaces. This is joint work with Bong Lian.

2-9-2018 Dan Xie

(CMSA Harvard)

Three dimensional mirror symmetry

Abstract: I will discuss the basic features of three dimensional mirror symmetry. Several interesting class of examples will be discussed.

2-16-2018 Man-Wai Cheung 


Quiver representations and theta functions
Abstract: Scattering diagrams theta functions and broken lines were developed in order to describe toric degenerations of Calabi-Yau varieties and construct mirror pairs. Later, Gross-Hacking-Keel-Kontsevich unravel the relation of those objects with cluster algebras. In the talk, we will discuss how we can combine the representation theory with these objects. We will also see how the broken lines on scattering diagram give a stratification of quiver Grassmannians using this setting.


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