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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.
Seminar on Algebraic Groups
Date and time: Tuesday, January 10, 2023, 4.00 pm - 5.30 pm.
Venue: Ramanujan Hall
Host: Shripad Garge
Speaker: Arghya Pramanik
Affiliation: IIT Bombay
Title: Some algebraic geometry- I
Abstract: This is the first lecture on this topic. We begin with basic notions of algebraic geometry keeping in mind that we want to learn (linear) algebraic groups. We follow the first chapter of Tony Springer's book.