YONSEI Math-CSE Colloquium
2021. 11. 4. (목) 17 : 00
Diophantine Equations and Moduli Spaces with Nonlinear Symmetry
The study of Diophantine equations, i.e. polynomials having integer coefficients and integer unknowns, occupies a
central position in number theory. When a given equation describes the moduli space of a class of objects arising in
geometry or topology, external techniques can be brought to bear on number-theoretic questions. In this talk, we
discuss two examples of moduli spaces: spaces of SL2-local systems on surfaces, and spaces of Stokes matrices. These
moduli spaces possess high degrees of nonlinear symmetry (in the form of mapping class group or braid group actions),
and a theory can be sought for these generalizing the classical reduction theory of arithmetic groups.
Zoom link
https://yonsei.zoom.us/j/89486652536?pwd=VFhRcjd0dWJWZlozY1RZa0xPUGIrZz09
Meeting ID: 894 8665 2536
Passcode: 224718