Algebraic geometry seminar
Date and time: Tuesday, January 10, 2023, 2:15 pm
Venue: Ramanujan Hall
Host: Sudarshan Gurjar
Speaker : Atharva Korde
Affiliation University of British Columbia, Vancouver, Canada
Title: Gromov Witten invariants and Donaldson Thomas invariants-II
Abstract: I will give an introduction to Gromov-Witten invariants (via algebraic geometry, rather than symplectic geometry) and Donaldson-Thomas invariants. Then I will explain the GW-DT correspondence, which relates these two sets of numbers for a Calabi-Yau threefold. If time permits, I will talk about quantum cohomology later, an idea of Kontsevich which is used to answer the question of counting the following GW-invariant – how many rational curves of degree d pass through 3d-1 general points in the plane? The first talk will be less technical and accessible to anyway with minimal knowledge of algebraic geometry. The second talk will be more technical.