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Graph Complexes and Moduli Spaces of Curves (Siddarth Kannan, UCLA)
January 24 @ 4:15 pm - 5:30 pm
Title: Graph Complexes and Moduli Spaces of Curves
Speaker: Siddarth Kannan, UCLA
Abstract: I will begin by defining a certain combinatorial object called a graph complex. Then I will give a brief introduction to the moduli space of curves. The study of the geometry of this moduli space has occupied several generations of mathematicians, across fields such as algebraic and differential geometry, mathematical physics, geometric group theory, and more. Finally, I will describe the beautiful connection between the graph complex and the topology of the moduli space.
I am currently a postdoc at UCLA. I obtained my PhD from Brown University in 2023, after graduating from Pomona College in 2018. I first became interested in the combinatorial aspects of algebraic geometry while working with Prof. Dagan Karp as an undergraduate.