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Speaker:
Efstratia Kalfagianni
Zugehörigkeit:
Michigan State University
Datum:
Die, 13/05/2025 - 11:30 - 12:30
Location:
MPIM Lecture Hall
Parent event:
Conference on "Quantum Topology" The $SL_2(C)$-skein modules of closed 3-manifolds were defined by in the 90’s but till recently little was known about their structure. The modules depend on a parameter A and can be considered over $ {\mathbb Z}[A^{\pm 1}]$ or over ${\mathbb Q}(A)$.
The ${\mathbb Q}(A)$-module is known to be finitely generated while the structure over ${\mathbb Z}[A^{\pm 1}]$ can be complicated.
We will discuss how the existence of "essential" surfaces in manifolds reflects on the structure of their $ {\mathbb Z}[A^{\pm 1}]$- module. We will also discuss how this information allows to compute the dimension of the ${\mathbb Q}(A)$- modules for "small” manifolds, and understand their relation to their character varieties.
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