Algebraic Geometry  Seminar

Date:

Thursday, 5 January, 2023, 2.15 pm

Venue:

Ramanujan Hall

Speaker:

Atharva Korde

Affiliation:

Univ. of British Columbia,Vancouver, BC, Canada

Title:

An introduction to Gromov-Witten and Donaldson-Thomas theory

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.