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Algebraic geometry of topological field theories 

Reimagining the Foundations of Algebraic Topology April 07, 2014 - April 11, 2014

April 07, 2014 (09:30 AM PDT - 10:30 AM PDT)
Speaker(s): David Ben-Zvi (University of Texas, Austin)
Location: MSRI: Simons Auditorium
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC



The study of supersymmetric gauge theories in physics has produced an incredibly rich collection of mathematical structures (for example the construction of Seiberg-Witten integrable systems and their quantization). I will explain (following work in progress with D. Nadler, A. Neitzke and T. Nevins) how to see such structures directly from the formalism of extended topological field theory. The main (and utterly conjectural) example is provided by a 6-dimensional field theory, Theory X (better known as the (2,0) 6d SCFT), whose structure unifies much of modern geometric representation theory. 

20453?type=thumb BenZvi.Notes 1010 KB application/pdf Download
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