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Vafa-Witten Invariants of Projective Surfaces - Overview

[HYBRID WORKSHOP] New Four-Dimensional Gauge Theories October 24, 2022 - October 28, 2022

October 24, 2022 (02:00 PM PDT - 03:00 PM PDT)
Speaker(s): Martijn Kool (Universiteit Utrecht)
Location: SLMath: Eisenbud Auditorium, Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
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Vafa-Witten Invariants Of Projective Surfaces - Overview

Abstract

On a four-manifold underlying a complex smooth projective surface S, Tanaka-Thomas gave an algebro-geometric definition of the SU(r) Vafa-Witten partition function. When S has a non-zero holomorphic 2-form, the partition function is essentially topological with a rich modular structure. The algebro-geometric viewpoint provides new insights into Vafa-Witten theory such as (1) new mathematical verifications of S-duality, (2) K-theoretic refinement, (3) higher rank expressions with relations to the Rogers-Ramanujan continued fraction.

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Vafa-Witten Invariants Of Projective Surfaces - Overview

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