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Speaker:
Francis Bonahon
Zugehörigkeit:
University of Southern California/Michigan state University
Datum:
Don, 15/05/2025 - 11:30 - 12:30
Location:
MPIM Lecture Hall
Parent event:
Conference on "Quantum Topology" For a Lie group G, the G-skein module of a 3-dimensional manifold M is a fundamental object in Witten’s interpretation of quantum knot invariants in the framework of a topological quantum field theory. It depends on a parameter q and, when this parameter q is a root of unity, the G-skein module contains elements with a surprising “transparency” property, in the sense that they can be traversed by any other skein without changing the resulting total skein. I will describe some (and conjecturally all) of these transparent elements in the case of the special linear group SL_n. The construction is based on the very classical theory of symmetric polynomials in n variables.
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