Charlotte Chan: Positive-Depth Deligne–Lusztig Varieties and Character Sheaves (March 5, 2026)
Автор: Simons Foundation
Загружено: 2026-03-16
Просмотров: 134
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Representation theory and the geometry of flag varieties are deeply intertwined. For finite groups of Lie type, Deligne and Lusztig’s breakthrough work in 1976 defined Frobenius-twisted versions of flag varieties whose cohomology realizes all representations of these groups. Lusztig’s theory of character sheaves further revolutionized the subject in the 1980s, yielding a perverse-sheaf-theoretic basis of the vector space of class functions. In the last quarter-century, generalizations of Deligne-Lusztig varieties and character sheaves have allowed us to study representations of p-adic groups using explicit geometric methods. In this talk, Charlotte Chan will describe recent advances in this subject and their relationship to the Langlands program.
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