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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Higher dimensional Heegaard Floer homology and Hecke algebras
高维 希加德弗洛尔同调 赫克代数
2023/4/18
Higher dimensional Heegaard Floer homology (HDHF) is a higher dimensional analogue of Heegaard Floer homology in dimension three. It's partly used to study contact topology in higher dimensions. In a ...
On Hecke eigenvalues at primes of the form $[g(n)]$
Hecke eigenvalues, Piatetski-Shapiro primes
2011/8/30
Abstract: In this paper, we study the average of the Fourier coefficients of a holomorphic cusp form for the full modular group at primes of the form $[g(n)]$.
Gaussian concentration of the q-characters of the Hecke algebras of type A
Gaussian concentration q-characters of the Hecke algebras type A
2010/12/9
We show that with respect to the q-Plancherel measure on partitions of size n, the irreducible
characters of an Hecke algebra Hq(Sn) are concentrated around the normalized trace of Hq(Sn). More preci...