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A Homotopical Description of Deligne-Mumford Compactifications

Offered By: Western Hemisphere Virtual Symplectic Seminar via YouTube

Tags

Moduli Space Courses Algebraic Geometry Courses Algebraic Topology Courses Gromov-Witten Invariants Courses Fukaya Categories Courses Homotopy Theory Courses

Course Description

Overview

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Explore a homotopical approach to Deligne-Mumford compactifications in this one-hour lecture from the Western Hemisphere Virtual Symplectic Seminar. Delve into how moduli spaces of curves across all genera emerge from framed curve moduli spaces through the homotopic trivialization of specific circle actions. Examine the relevance of this description to connecting Gromov-Witten invariants with Fukaya categories. Compare the presented findings to existing literature in the field. If time allows, investigate a variation of the result leading to a partial compactification of curve moduli spaces, with implications for symplectic cohomology studies.

Syllabus

Yash Deshmukh - A homotopical description of Deligne-Mumford compactifications


Taught by

Western Hemisphere Virtual Symplectic Seminar

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