Seminar Announcement Speaker: Dhruv Ranganathan, University of Cambridge Date: Thursday, 18 April 2024 Time: 3:30 PM Venue: Seminar Hal Gromov-Witten theory via degenerations Dhruv Ranganathan University of Cambridge. 18-04-24 Abstract Gromov-Witten theory probes the geometry of a projective manifold X by studying maps into X from curves. It is a modern take on classical curve counting problems, such as Schubert calculus. An important technique in the subject is passing from X to a reducible union of simpler projective manifolds. The output of these techniques are known as “degeneration formulas” and they have a rich combinatorial structure. I will give an overview of this circle of ideas, including recent advances that allow us to approach some old questions about the relationship between Gromov-Witten theory and the cohomology of the moduli space of curves.
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