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Quantized traces and vanishing determinants
Mathematical Physics| Speaker: | Guo Chuan Thiang, Beijing International Center for Mathematical Research |
| Location: | 3024 PDSB |
| Start time: | Wed, Jan 28 2026, 4:10PM |
Description
I will give an elementary proof that the Fredholm determinant of a multiplicative commutator trivializes under a naturally occurring joint-determinant-class condition. This leads to an example of quantized trace formulae, relevant to macroscopic quantization phenomena, particularly that of the 2D Hall conductance. The "invisible hand" of K-theory and coarse geometry in this story will also be sketched.