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An algebraic model for smoothing Calabi-Yau varieties

DIFFERENTIAL GEOMETRY

May 4, 2021      9:00 pm
Speaker: Kwokwai Chan - Chinese University of Hong Kong

We are interested in smoothing of a degenerate Calabi-Yau variety or a pair (degenerate CY, sheaf). I will explain an algebraic framework for solving such smoothability problems. The idea is...
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Group actions and stability on elliptic surfaces

DIFFERENTIAL GEOMETRY

April 20, 2021      9:00 pm
Speaker: Jason Lo - CSUN

There are two natural group actions on the Bridgeland stability manifold of a triangulated category: a left action by the group of autoequivalences, and a right action by the universal...
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Quasimodular forms from Betti numbers

DIFFERENTIAL GEOMETRY

April 6, 2021      8:00 am
Speaker: Pierrick Bousseau - ETH

This talk will be about refined curve counting on local P^2, the noncompact Calabi-Yau 3-fold total space of the canonical line bundle of the projective plane. I will explain how...
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Topological mirror symmetry for parabolic Higgs bundles

DIFFERENTIAL GEOMETRY

March 23, 2021      9:00 pm
Speaker: Shiyu Shen - University of Toronto

I will present work on establishing the correspondence between the (appropriately defined) Hodge numbers of the moduli spaces of parabolic Higgs bundles for the structure groups SL_n and PGL_n, building...
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Gromov–Witten invariants of some non-convex complete intersections

DIFFERENTIAL GEOMETRY

March 9, 2021      8:00 pm
Speaker: Nawaz Sultani - University of Michigan

For convex complete intersections, the Gromov-Witten (GW) invariants are often computed using the Quantum Lefshetz Hyperplane theorem, which relates the invariants to those of the ambient space. However, even in...
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Disc potential functions of Quadrics

DIFFERENTIAL GEOMETRY

March 2, 2021      8:00 am
Speaker: Yoosik Kim - Pusan National University

A disc potential function plays an important role in studying a symplectic manifold and its Lagrangian submanifolds. In this talk, I will explain how to compute the disc potential function of...
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Metric SYZ conjecture

DIFFERENTIAL GEOMETRY

November 24, 2020      8:00 pm
Speaker: Yang Li - MIT

One possible interpretation of the SYZ conjecture is that for a polarized family of CY manifolds near the large complex structure limit, there is a special Lagrangian fibration on the...
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