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Physical Perspectives on Gauge Theories and Dualities

[HYBRID WORKSHOP] Introductory Workshop: Analytic and Geometric Aspects of Gauge Theory August 29, 2022 - September 02, 2022

August 29, 2022 (11:00 AM PDT - 12:00 PM PDT)
Speaker(s): Lara Anderson (Virginia Polytechnic Institute and State University)
Location: SLMath: Online/Virtual
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video

Physical Perspectives On Gauge Theories And Dualities

Abstract

In this talk I will review the emergence of Yang-Mills theories and other related gauge theories (including Seiberg-Witten theories and Hitchin Systems) as they arise in modern string theory constructions. I will demonstrate the way that string dualities can relate seemingly disparate geometric systems and shed light on novel underlying mathematical structure. As one example, I will focus on generalizations of Hitchin systems and Higgs bundles as they appear in compactifications of F-theory.

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Physical Perspectives On Gauge Theories And Dualities

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