Summer School in mathematics 2022

Mon. 13

Tue. 14

Wed. 15

Thu. 16

Fri. 17

Sat. 18

Sun. 19

Mon. 20

Tue. 21

Wed. 22

Thu. 23

Fri. 24

Sat. 25

Sun. 26

Mon. 27

Tue. 28

Wed. 29

Thu. 30

Fri. 01

09:00

10:00

11:00

12:00

13:00

14:00

15:00

16:00

17:00

Welcome opening

9:00 - 12:30 (3h30)

Welcome opening

Alexander HULPKE 1

14:00 - 15:00 (1h)

Alexander HULPKE 1

Computational group theory, cohomology of groups and topological methods

Alexander HULPKE 2

15:15 - 16:15 (1h)

Alexander HULPKE 2

Computational group theory, cohomology of groups and topological methods

Renaud COULANGEON 1

16:30 - 17:30 (1h)

Renaud COULANGEON 1

Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms

Renaud COULANGEON 2

9:00 - 10:00 (1h)

Renaud COULANGEON 2

Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms

Graham ELLIS 1

10:15 - 11:15 (1h)

Graham ELLIS 1

Computational group theory, cohomology of groups and topological methods

Graham ELLIS 2

11:30 - 12:30 (1h)

Graham ELLIS 2

Computational group theory, cohomology of groups and topological methods

Lunch

12:30 - 14:00 (1h30)

Lunch

Gabriele NEBE 1 (zoom)

14:00 - 15:00 (1h)

Gabriele NEBE 1 (zoom)

Lattices, Perfects lattices, Voronoi reduction theory, modular forms, computations of isometries and automorphisms

Alexander HULPKE 3

15:15 - 16:15 (1h)

Alexander HULPKE 3

Computational group theory, cohomology of groups and topological methods

Graham ELLIS 3

16:30 - 17:30 (1h)

Graham ELLIS 3

Computational group theory, cohomology of groups and topological methods

Bill ALLOMBERT

9:00 - 10:45 (1h45)

Bill ALLOMBERT

Introduction to PARI/GP (with 'laptop classroom'; intro+practical work)

Herbert GANGL

11:00 - 12:30 (1h30)

Herbert GANGL

Illustrating the mathematics of COGENT: A hyperbolic angle

Lunch

12:30 - 14:00 (1h30)

Lunch

Bettina EICK 1

14:00 - 15:00 (1h)

Bettina EICK 1

Computational group theory, cohomology of groups and topological methods

Bettina EICK 2

15:15 - 16:15 (1h)

Bettina EICK 2

Computational group theory, cohomology of groups and topological methods

Graham ELLIS 4

16:30 - 17:30 (1h)

Graham ELLIS 4

Computational group theory, cohomology of groups and topological methods

Bettina EICK 3

9:00 - 10:00 (1h)

Bettina EICK 3

Computational group theory, cohomology of groups and topological methods

Bettina EICK 4

10:15 - 11:15 (1h)

Bettina EICK 4

Computational group theory, cohomology of groups and topological methods

Alexander HULPKE 4

11:30 - 12:30 (1h)

Alexander HULPKE 4

Computational group theory, cohomology of groups and topological methods

Lunch

12:30 - 14:00 (1h30)

Lunch

Phong NGUYEN 1

14:00 - 15:00 (1h)

Phong NGUYEN 1

Recent progress on lattices's computations

Phong NGUYEN 2

15:15 - 16:15 (1h)

Phong NGUYEN 2

Recent progress on lattices's computations

Alexander HULPKE 5

16:30 - 17:30 (1h)

Alexander HULPKE 5

Computational group theory, cohomology of groups and topological methods

Bettina EICK 5

9:00 - 10:00 (1h)

Bettina EICK 5

Computational group theory, cohomology of groups and topological methods

Graham ELLIS 5

10:15 - 11:15 (1h)

Graham ELLIS 5

Computational group theory, cohomology of groups and topological methods

Haluk SENGUN 1

11:30 - 12:30 (1h)

Haluk SENGUN 1

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Welcome opening

10:00 - 12:30 (2h30)

Welcome opening

Haluk SENGUN 2 (zoom)

14:00 - 15:00 (1h)

Haluk SENGUN 2 (zoom)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Paul GUNNELLS 1 (zoom, Philippe on-site)

15:15 - 16:15 (1h)

Paul GUNNELLS 1 (zoom, Philippe on-site)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Paul GUNNELLS 2 (zoom)

16:30 - 17:30 (1h)

Paul GUNNELLS 2 (zoom)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Aurel PAGE 1

9:00 - 10:00 (1h)

Aurel PAGE 1

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Aurel PAGE 2

10:15 - 11:15 (1h)

Aurel PAGE 2

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Peter PATZT 1

11:30 - 12:30 (1h)

Peter PATZT 1

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Lunch

12:30 - 14:00 (1h30)

Lunch

Paul GUNNELLS 3 (zoom, Philippe on-site)

14:00 - 15:00 (1h)

Paul GUNNELLS 3 (zoom, Philippe on-site)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Jennifer WILSON 1 (zoom, Peter on-site)

15:15 - 16:15 (1h)

Jennifer WILSON 1 (zoom, Peter on-site)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Jennifer WILSON 2 (zoom, Peter on-site)

16:30 - 17:30 (1h)

Jennifer WILSON 2 (zoom, Peter on-site)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Peter PATZT 2 (exercice and Q&A session)

9:00 - 10:00 (1h)

Peter PATZT 2 (exercice and Q&A session)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Peter PATZT 2 (exercice and Q&A session)

10:15 - 11:15 (1h)

Peter PATZT 2 (exercice and Q&A session)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Philippe ELBAZ 1

11:30 - 12:30 (1h)

Philippe ELBAZ 1

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Dinner

12:30 - 14:00 (1h30)

Dinner

Paul GUNNELLS 4 (zoom, Philippe on-site)

14:00 - 15:00 (1h)

Paul GUNNELLS 4 (zoom, Philippe on-site)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Philippe ELBAZ 2

15:15 - 16:15 (1h)

Philippe ELBAZ 2

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Jennifer WILSON 3 (zoom, Peter on-site)

16:30 - 17:30 (1h)

Jennifer WILSON 3 (zoom, Peter on-site)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Peter PATZT 3

9:00 - 10:00 (1h)

Peter PATZT 3

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Philippe ELBAZ 3

10:15 - 11:15 (1h)

Philippe ELBAZ 3

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Philippe ELBAZ 4

11:30 - 12:30 (1h)

Philippe ELBAZ 4

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Lunch

12:30 - 14:00 (1h30)

Lunch

Paul GUNNELLS 5 (zoom, Philippe on-site)

14:00 - 15:00 (1h)

Paul GUNNELLS 5 (zoom, Philippe on-site)

Cohomology of arithmetic groups and number theory: geometric, asymptotic and computational aspects

Peter PATZT 4 (Jenny present on zoom)

15:15 - 16:15 (1h)

Peter PATZT 4 (Jenny present on zoom)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Peter PATZT / Jennifer WILSON (exercice and Q&A session)

16:30 - 17:30 (1h)

Peter PATZT / Jennifer WILSON (exercice and Q&A session)

High dimensional cohomology of SL_n(Z) and its principal congruence subgroups

Philippe ELBAZ/Paul GUNNELLS

9:30 - 11:00 (1h30)

Philippe ELBAZ/Paul GUNNELLS

Further directions and open problems

Peter PATZT/Jennifer WILSON

11:15 - 12:45 (1h30)

Peter PATZT/Jennifer WILSON

Further directions and open problems

Richard Hill

15:00 - 16:00 (1h)

Richard Hill

Fractional weight modular forms * joint session with COGENT regular seminar * (zoom)

Michael Lipnowski * joint session with COGENT regular seminar * (zoom)

16:00 - 17:00 (1h)

Michael Lipnowski * joint session with COGENT regular seminar * (zoom)

TBA

Haowen Zhang

9:30 - 10:30 (1h)

Haowen Zhang

Brauer-Manin and cohomological obstructions to rational points

Alexander Rahm

11:00 - 12:00 (1h)

Alexander Rahm

Verification of the Quillen conjecture in the rank 2 imaginary quadratic case

Lunch

12:00 - 14:00 (2h)

Lunch

Petru Constantinescu

14:00 - 15:00 (1h)

Petru Constantinescu

On the distribution of modular symbols and cohomology classes

Angelica Babei

15:15 - 16:15 (1h)

Angelica Babei

A family of $\phi$-congruence subgroups of the modular group (zoom)

Zachary Himes

16:15 - 17:15 (1h)

Zachary Himes

On not the rational dualizing module for $\text{Aut}(F_n)$ (zoom)

Lewis Combes

9:30 - 10:30 (1h)

Lewis Combes

Computing Selmer groups attached to mod p Galois representations

Oussama Hamza

11:00 - 12:00 (1h)

Oussama Hamza

Hilbert series and mild groups

Lunch

12:00 - 14:00 (2h)

Lunch

Kieran Child

14:00 - 15:00 (1h)

Kieran Child

Computation of weight 1 modular forms

Kalani Thalagoda

15:15 - 15:45 (30min)

Kalani Thalagoda

Bianchi modular forms (zoom)

Calista Bernard

16:00 - 17:00 (1h)

Calista Bernard

Applications of twisted homology operations for E_n-algebras (zoom)

Tobias Braun

9:30 - 10:30 (1h)

Tobias Braun

Orthogonal Determinants

Leonie Scheeren

11:00 - 12:00 (1h)

Leonie Scheeren

The Voronoi Algorithm for calculating unit groups

Lunch

12:00 - 14:00 (2h)

Lunch

Tobias Moede

14:00 - 15:00 (1h)

Tobias Moede

Coclass theory for nilpotent associative algebras (zoom)

Benjamin Brück

15:00 - 16:00 (1h)

Benjamin Brück

High-dimensional rational cohomology of $\operatorname{SL}_n(\mathbb{Z})$ and $\operatorname{Sp}_{2n}(\mathbb{Z})$ (zoom)

Andrew Putman

16:00 - 17:00 (1h)

Andrew Putman

The Steinberg representation is irreducible (zoom)