Publication

On the Grothendieck-Serre conjecture for classical groups

Eva Bayer Fluckiger
2022
Journal paper

Abstract

We prove some new cases of the Grothendieck-Serre conjecture for classical groups. This is based on a new construction of the Gersten-Witt complex for Witt groups of Azumaya algebras with involution on regular semilocal rings, with explicit second residue maps; the complex is shown to be exact when the ring is of dimension

Official source

https://infoscience.epfl.ch/record/295527?ln=en

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Moments of the number of points in a bounded set for number field lattices

Maryna Viazovska, Nihar Prakash Gargava, Vlad Serban

We examine the moments of the number of lattice points in a fixed ball of volume

V

for lattices in Euclidean space which are modules over the ring of integers of a number field

K

. In particular, denoting by

ω_K

the number of roots of unity in

K

, we ...

arXiv2023

On the Grothendieck-Serre conjecture for classical groups

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Moments of the number of points in a bounded set for number field lattices

Dense Packings via Lifts of Codes to Division Rings

Double Quasi-Poisson Algebras are Pre-Calabi-Yau

Double Quasi-Poisson Algebras are Pre-Calabi-Yau

Dense Packings via Lifts of Codes to Division Rings

Moments of the number of points in a bounded set for number field lattices