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Monday, February 3, 2025

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4:00pm
Classifying Hyperbolic Ergodic Stationary Measures on K3 Surfaces with Large Automorphism Groups [3]
02/03/2025 - 4:00pm
Let $X$ be a K3 surface. Consider a finitely supported probability measure $\mu$ on Aut(X) such that $\Gamma_{\mu} = \langle Supp(\mu)\rangle < Aut(X)$ is non-elementary. We do not assume that $\Gamma_{\mu}$ contains any parabolic elements. We study and classify hyperbolic ergodic $\mu$-stationary probability measures on $X$.
Location:
KT 207
 
Curve Counting on Calabi–Yau Quintics [4]
02/03/2025 - 4:30pm

I will give a brief review on how to count curves on algebraic manifolds. I will emphasise more on the evolution of counting curves, especially on the importance of change of viewpoints at various stages. I will mention some key new concepts or methods introduced whenever we meet some conceptual or computational difficulties.  Near the end, I will present a method to calculate Gromov–Witten invariants of the Calabi–Yau quintic three-fold.

Location:
KT 801
 
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[1] https://calendar.math.yale.edu/calendar/grid/day/2025-02-02 [2] https://calendar.math.yale.edu/calendar/grid/day/2025-02-04 [3] https://calendar.math.yale.edu/event/classifying-hyperbolic-ergodic-stationary-measures-k3-surfaces-large-automorphism-groups [4] https://calendar.math.yale.edu/event/curve-counting-calabi-yau-quintics [5] https://calendar.math.yale.edu/print/list/calendar/grid/day/2025-02-03 [6] webcal://calendar.math.yale.edu/calendar/export.ics