| Lecturer | 김상현 |
|---|---|
| Dept. | 고등과학원 |
| date | May 06, 2021 |
For each natural number k, the C^k diffeomorphisms of the circle form a group with function compositions. This definition even extends to real numbers k no less than one by Hölder continuity. We survey algebraic properties of this group, many of which can distinguish various values of k. (Joint work with Thomas Koberda)
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Geometric Langlands theory: A bridge between number theory and physics
Noise-induced phenomena in stochastic heat equations
Mirror symmetry of pairings
A dissipative effect on some PDEs with physical singularity
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Geometric structures and representation spaces
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Infinite order rationally slice knots
Random matrices and operator algebras
Symplectic topology and mirror symmetry of partial flag manifolds
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Heavy-tailed large deviations and deep learning's generalization mystery
Diophantine equations and moduli spaces with nonlinear symmetry
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On circle diffeomorphism groups
