Full SYZ Conjecture for del Pezzo Surfaces and Rational Elliptic Surfaces
2021-02-22 10:00 - 11:00 (America/New_York)
Speaker: Yu-Shen Lin (Boston University)
Title: Full SYZ Conjecture for del Pezzo Surfaces and Rational Elliptic Surfaces
Abstract: Strominger-Yau-Zaslow conjecture predicts the existence of special Lagrangian fibrations on Calabi-Yau manifolds. The conjecture inspires the development of mirror symmetry while the original conjecture has little progress. In this talk, I will confirm the conjecture for the complement of a smooth anti-canonical divisor in del Pezzo surfaces. Moreover, I will also construct the dual torus fibration on its mirror. As a consequence, the special Lagrangian fibrations detect a non-standard semi-flat metric and some Ricci-flat metrics that don’t obviously appear in the literature. This is based on a joint work with T. Collins and A. Jacob.

Mathematical supergravity and its applications to differential geometry
2021-03-01 10:00 - 11:00 | Hybrid
Speaker: Carlos S. Shahbazi (Hamburg University)
Title: Mathematical supergravity and its applications to differential geometry
Abstract: I will discuss the recent developments in the mathematical theory of supergravity that lay the mathematical foundations of the universal bosonic sector of four-dimensional ungauged supergravity and its Killing spinor equations in a differential-geometric framework. I will provide the necessary context and background. explaining the results pedagogically from scratch and highlighting several open mathematical problems which arise in the mathematical theory of supergravity, as well as some of its potential mathematical applications. Work in collaboration with Vicente Cortés and Calin Lazaroiu.

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2021-03-08 10:00 - 11:00

3/22/2021 Mathematical Physics Seminar
2021-03-22 10:00 - 11:00 | Virtual

4/5/2021 Math Physics Seminar
2021-04-05 10:00 - 11:00

4/12/2021 Mathematical Physics Seminar
2021-04-12 10:00 - 11:00

4/19/2021 Mathematical Physics Seminar
2021-04-19 10:00 - 11:00 | Virtual

4/26/2021 Math Physics Seminar
2021-04-26 10:00 - 11:00 | Virtual
