Speaker: Prof. Lei Fu (Tsinghua University）
Time: 10:30-11:30am, December 13, 2023 (Wednesday)
Place: MCM110
Title: Exponential sums on reductive groups
Abstract: For a family of irreducible representations of a reductive group, we can define a family of exponential sums. We introduce the l-adic hypergeometric sheaf to study these exponential sums. Under the homogeneity condition, we calculate the rank and smooth locus of this sheaf. We apply these result to the estimation of exponential sums.
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