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Seminar

GT Graduate Student Seminar: The Kapustin-Witten equations and their dimensional reduction September 27, 2022 (10:00 AM PDT - 11:00 AM PDT)
Parent Program:
Location: MSRI: Simons Auditorium, Online/Virtual
Speaker(s) Panagiotis Dimakis (Stanford University)
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Video

GT Graduate Student Seminar: The Kapustin-Witten Equations And Their Dimensional Reduction

Abstract/Media

To participate in this seminar, please register HERE.

This will be an introduction to Witten's program to obtain topological information about knots from studying solutions of Kapustin-Witten equations. I will state the main conjecture and explain the difficulties involved in proving it. Then I will introduce the dimensional reduction of KW, explain the significance of its solutions to Witten's program and sketch a Kobayashi-Hitchin type correspondence for such solutions. Time permitting I will discuss my own work on the subject and future directions.

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GT Graduate Student Seminar: The Kapustin-Witten Equations And Their Dimensional Reduction