The seminar on mathematical physics will be held on select Mondays and Wednesdays from 12 – 1pm in CMSA Building, 20 Garden Street, Room G10. This year’s Seminar will be organized by Bogdan Stoica and Tsung-ju Lee.
The list of speakers for the upcoming academic year will be posted below and updated as details are confirmed. Titles and abstracts for the talks will be added as they are received.
|9/9/2019||Daniel Pomerleano (UMass Boston)||
Abstract: Given a maximally degenerate log Calabi–Yau variety $X$, I will describe how one can recover the birational class of the mirror manifold from a Floer theoretic invariant of $X$ (symplectic cohomology). I will then explain how this result relates to recent constructions in mirror symmetry due to Gross–Hacking–Keel and Gross–Siebert.
|9/16/2019||Eirik Eik Svanes (King’s College London and ICTP)||
Abstract: I will discuss recent developments in understanding coupled moduli spaces for geometries which appear naturally in string theory. Focusing on heterotic geometries and $SU(3)$ and $G2$ structure compactifications in particular, which also come equipped with a gauge sector, I will describe how the moduli are captured by effective quasi-topological theories derived from the heterotic supergravity. In the case of $SU(3)$ structure compactifications the topological theory in question is a natural generalization of holomorphic Chern–Simons theory or Donaldson–Thomas theory. In the case of heterotic $G2$ structures we will see that the moduli problem is a lot more coupled, and the moduli space has no intrinsic fibration structure in general.
|Fenglong You (University of Alberta)||
Abstract: Let $X$ be a Calabi–Yau manifold that admits a Tyurin degeneration to a union of two quasi-Fano varieties $X_1$ and $X_2$ intersecting along a smooth anticanonical divisor $D$. Doran–Harder–Thompson conjectured that the Landau–Ginzburg mirrors of $(X_1,D)$ and $(X_2,D)$ can be glued to obtain the mirror of $X$. In this talk, I will explain how periods on the mirrors of $(X_1,D)$ and $(X_2,D)$ are related to periods on the mirror of $X$. The relation among periods relates different Gromov–Witten invariants via their respective mirror maps. This is joint work with Charles Doran and Jordan Kostiuk.
|9/30/2019||Dmitry Tonkonog (Harvard)||TBA|
|10/7/2019||Xiao Zheng (Boston University)||TBA|
|Man-Wai Cheung (Harvard)||TBA|