Young Group theorists workshop: exploring new connections
from
Sunday, September 4, 2022 (7:00 PM)
to
Friday, September 9, 2022 (1:30 PM)
Sunday, September 4, 2022
Monday, September 5, 2022
9:00 AM
Hello
Hello
9:00 AM - 9:10 AM
We welcome you all, give some information for the week and thank our sponsors.
9:15 AM
Cheryl Praeger: Big questions of finite permutation groups – some answered, others open
Cheryl Praeger: Big questions of finite permutation groups – some answered, others open
9:15 AM - 10:15 AM
10:30 AM
Tea and coffee break
Tea and coffee break
10:30 AM - 11:00 AM
11:00 AM
Kamilla Rekvenyi: Orbital Diameter of Primitive Permutation Groups
Kamilla Rekvenyi: Orbital Diameter of Primitive Permutation Groups
11:00 AM - 11:15 AM
11:25 AM
Getting to know each other
Getting to know each other
11:25 AM - 12:25 PM
12:30 PM
Lunch break
Lunch break
12:30 PM - 3:00 PM
3:00 PM
Melissa Lee: Primitive permutation groups: more problems and open questions
Melissa Lee: Primitive permutation groups: more problems and open questions
3:00 PM - 4:00 PM
4:00 PM
Hongyi Huang: Base-two primitive permutation groups
Hongyi Huang: Base-two primitive permutation groups
4:00 PM - 4:15 PM
4:30 PM
Tea and coffee break
Tea and coffee break
4:30 PM - 5:00 PM
5:00 PM
Emily Hall: Almost elusive groups
Emily Hall: Almost elusive groups
5:00 PM - 5:15 PM
5:35 PM
Saul Freedman: The intersection graph of a finite simple group
Saul Freedman: The intersection graph of a finite simple group
5:35 PM - 5:50 PM
6:20 PM
Rebecca Waldecker: Permutation groups acting under constraints
Rebecca Waldecker: Permutation groups acting under constraints
6:20 PM - 7:00 PM
7:00 PM
Dinner break
Dinner break
7:00 PM - 8:00 PM
Tuesday, September 6, 2022
9:00 AM
Donna Testerman: Linear groups seen from different angles
Donna Testerman: Linear groups seen from different angles
9:00 AM - 9:50 AM
10:00 AM
Aluna Rizzoli
Aluna Rizzoli
10:00 AM - 10:40 AM
10:45 AM
Tea and coffee break
Tea and coffee break
10:45 AM - 11:15 AM
11:15 AM
Colva Roney-Dougal
Colva Roney-Dougal
11:15 AM - 12:05 PM
12:15 PM
Eileen Pan: Finite groups of Lie type
Eileen Pan: Finite groups of Lie type
12:15 PM - 12:30 PM
12:30 PM
Lunch break
Lunch break
12:30 PM - 5:00 PM
5:00 PM
Meet for tea and coffee
Meet for tea and coffee
5:00 PM - 5:20 PM
5:30 PM
Veronica Kelsey: A survey of base size and other numerical invariants
Veronica Kelsey: A survey of base size and other numerical invariants
5:30 PM - 6:10 PM
6:20 PM
Luca di Gravina: Möbius function of finite classical groups
Luca di Gravina: Möbius function of finite classical groups
6:20 PM - 6:35 PM
6:45 PM
David Szabo: Finite subgroups of transformation groups
David Szabo: Finite subgroups of transformation groups
6:45 PM - 7:00 PM
C. Jordan proved in 1877 that every finite subgroup of $\mathrm{GL}_n(\mathbb{C})$ has a normal abelian subgroup of index bounded by a function of $n$ -- in short, these finite subgroups are `almost' abelian. It is natural to investigate whether an analogous statement holds for the finite subgroups of natural transformation groups like the birational automorphism group of an algebraic variety, or the diffeomorphism group of a compact manifold. Recent developments on the topic by A. Guld (2020) and Pyber--Csikós--E. Szabó (2022) gave a positive answer when `abelian' is replaced by `nilpotent of class at most $2$', and by `nilpotent' in the respective cases. We will briefly discuss why the nilpotency class has to be at least $2$ in both cases focusing on the common purely group theoretic ideas.
7:30 PM
Dinner break
Dinner break
7:30 PM - 8:30 PM
Wednesday, September 7, 2022
9:00 AM
Inna Capdeboscq
Inna Capdeboscq
9:00 AM - 10:00 AM
10:10 AM
Gareth Tracey: The Goldschmidt-Sims conjecture
Gareth Tracey: The Goldschmidt-Sims conjecture
10:10 AM - 10:50 AM
The Classification of Finite Simple Groups has led to substantial progress on deriving sharp order bounds in various natural families of finite groups. One of the most well-known instances of this is Sims' conjecture, which states that the order of a point stabiliser in a primitive permutation group has order bounded in terms of its smallest non-trivial orbit length (this was proved by Cameron, Praeger, Saxl and Seitz using the CFSG in 1983). In the meantime, Goldschmidt observed that a generalised version of Sims' conjecture, which we now call the \emph{Goldschmidt--Sims conjecture}, would lead to important applications in graph theory. In this talk, we will describe the conjecture, and discuss some recent progress. Joint work with L. Pyber.
11:00 AM
Tea and coffee break
Tea and coffee break
11:00 AM - 11:20 AM
11:20 AM
Mandi Schaeffer-Fry: Conjecture-Cracking with the Classification: Some Applications, New and Old, of the CFSG
Mandi Schaeffer-Fry: Conjecture-Cracking with the Classification: Some Applications, New and Old, of the CFSG
11:20 AM - 12:20 PM
12:30 PM
Lunch break
Lunch break
12:30 PM - 3:00 PM
3:00 PM
Noelia Rizo
Noelia Rizo
3:00 PM - 3:40 PM
3:50 PM
Virgilius-Aurelian Minuță: Group graded algebras over G-graded G-algebras
Virgilius-Aurelian Minuță: Group graded algebras over G-graded G-algebras
3:50 PM - 4:05 PM
4:15 PM
Tea and coffee break
Tea and coffee break
4:15 PM - 4:45 PM
4:45 PM
Margherita Piccolo: Representation growth of semisimple profinite groups
Margherita Piccolo: Representation growth of semisimple profinite groups
4:45 PM - 5:00 PM
5:10 PM
Sesuai "Yash" Madanha: Average number of zeros of characters of finite groups
Sesuai "Yash" Madanha: Average number of zeros of characters of finite groups
5:10 PM - 5:25 PM
7:00 PM
Dinner break
Dinner break
7:00 PM - 8:00 PM
8:00 PM
SP Madireddi: The Foulkes module
SP Madireddi: The Foulkes module
8:00 PM - 8:15 PM
8:25 PM
Teaser and poster, open end!
Teaser and poster, open end!
8:25 PM - 8:55 PM
2 minutes teaser for a poster. Koushik Paul: Construction of Specht modules
Thursday, September 8, 2022
9:00 AM
Alice Niemeyer
Alice Niemeyer
9:00 AM - 10:00 AM
10:10 AM
Daniel Rademacher: Constructive recognition of classical groups
Daniel Rademacher: Constructive recognition of classical groups
10:10 AM - 10:25 AM
10:30 AM
Tea and coffee break
Tea and coffee break
10:30 AM - 11:00 AM
11:00 AM
Rebecca Waldecker: Backtrack methods and canonical images
Rebecca Waldecker: Backtrack methods and canonical images
11:00 AM - 11:40 AM
11:50 AM
Farzaneh Gholaminezhad: The G-graph of the Gyrogroups
Farzaneh Gholaminezhad: The G-graph of the Gyrogroups
11:50 AM - 12:05 PM
12:15 PM
Lunch break
Lunch break
12:15 PM - 3:00 PM
3:00 PM
Friedrich Rober: Wreath Product Decompositions
Friedrich Rober: Wreath Product Decompositions
3:00 PM - 3:15 PM
3:25 PM
Mun See Chang: Overview
Mun See Chang: Overview
3:25 PM - 4:25 PM
4:30 PM
Tea and coffee break
Tea and coffee break
4:30 PM - 5:00 PM
5:00 PM
Anna Sucker + Lucas Wollenhaupt: Computing the alternating and symmetric square representations of classical groups
Anna Sucker + Lucas Wollenhaupt: Computing the alternating and symmetric square representations of classical groups
5:00 PM - 5:20 PM
5:30 PM
Laura Voggesberger: On algebraic groups, their Lie algebras, and nilpotent pieces
Laura Voggesberger: On algebraic groups, their Lie algebras, and nilpotent pieces
5:30 PM - 5:45 PM
6:00 PM
John McHugh: On the image of the trivial source ring in the ring of virtual characters of a finite group
John McHugh: On the image of the trivial source ring in the ring of virtual characters of a finite group
6:00 PM - 6:15 PM
7:00 PM
Dinner
Dinner
7:00 PM - 8:00 PM
Friday, September 9, 2022
9:00 AM
Eilidh McKemmie
Eilidh McKemmie
9:00 AM - 9:45 AM
9:55 AM
Scott Harper. The generating graph: spread and domination
Scott Harper. The generating graph: spread and domination
9:55 AM - 10:40 AM
The generating graph of a group has as vertices the nontrivial elements of the group and two vertices are adjacent if the elements generate the group. I will discuss the recent classification of the finite groups whose generating graph is connected (joint with Burness and Guralnick) and related work on surprisingly small total dominating sets for generating graphs of simple groups (joint with Burness). Time permitting, I will discuss related ideas for infinite simple groups.
10:40 AM
Tea and coffee break
Tea and coffee break
10:40 AM - 11:10 AM
11:10 AM
Colva Roney-Dougal
Colva Roney-Dougal
11:10 AM - 12:00 PM
12:15 PM
Short feedback round
Short feedback round
12:15 PM - 12:30 PM
How was the workshop for you? What did you enjoy, what would you like more of in future workshops? What did you not like so much?
12:30 PM
Lunch break and departure
Lunch break and departure
12:30 PM - 1:30 PM