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Geometry of 3-manifolds and Complex Chern-Simons Theory

February 15, 2017 @ 4:30 pm - 5:30 pm

Speaker: Masahito Yamazaki (IMPU)

Title: Geometry of 3-manifolds and Complex Chern-Simons Theory

Abstract: The geometry of 3-manifolds has been a fascinating subject in mathematics. In this talk I discuss a “quantization” of 3-manifold geometry, in the language of complex Chern-Simons theory. This Chern-Simons theory in turn is related to the physics of 3-dimensional supersymmetric field theories through the so-called 3d/3d correspondence, whose origin can be traced back to a mysterious theory on the M5-branes. Along the way I will also comment on the connection with a number of related topics, such as knot theory, hyperbolic geometry, quantum dilogarithm and cluster algebras.


February 15, 2017
4:30 pm - 5:30 pm
Event Category:


CMSA Room G10
CMSA, 20 Garden Street
Cambridge, MA 02138 United States
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