Algebraic Geometry seminar
Date and Time: Thursday, 12 Jan 2023, 11.30-12.45
Venue: Ramanujan Hall
Host: Sudarshan Gurjar
Speaker: Atharva Korde
Affiliation: University of British Columbia, Vancouver, Canada
Title: Gromov Witten invariants and Donaldson Thomas invariants-III
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.