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Piotr Sulkowski
Title: Chern-Simons theory, string dualities and quantum geometry
[pdf]
Abstract: Chern-Simons theory, after embedding in string theory and
taking advantage of various dualities, can be related to many other
physical systems (such as supersymmetric gauge theories, BPS counting,
etc.) and fields of mathematics (knot theory, low-dimensional
topology, Gromov-Witten theory, etc.). I will discuss two examples of
such relations, involving quantization of two-dimensional surfaces and
the counting of BPS states in M-theory, and present how a combination
of these two lines of research leads to surprising statements in
number theory.
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