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Academy of Mathematics and Systems Science, CAS Colloquia & Seminars：Birkhoff genericity for points on curves in expanding horospheres and Diophantine applications
星座图 曲线 Birkhoff泛型 丢番图应用
2023/5/16
Let $\{a(t):t \in \mathbb{R}\}$ be a diagonalizable subgroup of $SL(d,\mathbb{R})$ for which the expanded horosphere $U$ is abelian. By the Birkhoff ergodic theorem, for any point $x \in SL(d,\mathbb{...
Genericity and contragredience in the local Langlands correspondence
Genericity contragredience local Langlands correspondence Representation Theory Number Theory
2012/4/17
Recently Adams and Vogan made a conjecture about the behavior of the local Langlands correspondence with respect to taking the contragredient of a representation. We prove this conjecture for the temp...
We introduce the notions of the caustic-equivalence and the weak caustic-equivalence relations of reticular Lagrangian maps in order to give a generic classification of caustics on a corner. We give t...