A. Romanov

activity

20182021

collaborators

5 papers

math.RT2021

Langlands correspondence and Bezrukavnikov's equivalence

Anna Romanov, Geordie Williamson

These are lecture notes (by the first author) from a course (by the second author) given over two extended semesters at the University of Sydney. The first part provides an introdu…

math.RT2020

Four examples of Beilinson-Bernstein localization

Anna Romanov

Let $g$ be a complex semisimple Lie algebra. The Beilinson-Bernstein localization theorem establishes an equivalence of the category of $g$ -modules of a fixed…

math.RT2019

Finite Gelfand pairs and cracking points of the symmetric groups

Faith Pearson, Anna Romanov, Dylan Soller

Let $Γ$ be a finite group. Consider the wreath product $G_{n} := Γ^{n} ⋊ S_{n}$ and the subgroup $K_{n} := Δ_{n} \times S_{n} \subseteq G_{n}$ , where $S_{n}$ is the symmetric group and $Δ_{n}$ …

math.RT2018

A Kazhdan-Lusztig algorithm for Whittaker modules

Anna Romanov

We study a category of Whittaker modules over a complex semisimple Lie algebra by realizing it as a category of twisted D-modules on the associated flag variety using Beilinson-Ber…

math.RT2018

An orbit model for the spectra of nilpotent Gelfand pairs

Holley Friedlander, William Grodzicki, Wayne Johnson +4

Let $N$ be a connected and simply connected nilpotent Lie group, and let $K$ be a subgroup of the automorphism group of $N$ . We say that the pair $(K, N)$ is a nilpotent Gelfand pai…