Dr Jay Taylor
Neumann Fellow

Talks

The following is a list of all talks that I have given. Where possible notes or slides for the talks are linked.

Recent By Year

2023

18th Oct Rationality of Representations of Finite Reductive Groups
Group Theory and Number Theory: Interactions, Princeton, USA
6th Oct Real Elements in Finite Reductive Groups
Representation Theory at the Villa Denis 2023, Frankenstein, Germany
5th Sep Bounding Character Values at Regular Semisimple Elements
LMS Regional Workshop on Lie Theory, York, UK
3rd Apr How p-groups Impact the Representations of Finite Reductive Groups
British Mathematical Colloquium 2023, Bath, UK

2022

13th Dec Bounding Character Values at Regular Semisimple Elements
Algebra Seminar, Bergische Universitat Wuppertal, Germany
5th Dec Rationality Questions for Representations of Finite Reductive Groups
PRIMA 2022, Vancouver, Canada
30th Sep Bounding Character Values at Regular Semisimple Elements
Algebraic Combinatorics Seminar, Colorado State University, USA
27th Sep Rationality Questions for Finite Reductive Groups
Lie Theory Seminar, CU Boulder, Colorado, USA
12th May Rationality Questions for Representations of Finite Reductive Groups
Counting Conjectures and Beyond, Issac Newton Institute, Cambridge, UK
12th Apr Rationality Questions for Representations of Finite Reductive Groups
Future directions in algebraic groups and Lie algebras in the UK, University of Birmingham, UK
8th Apr Representations of Finite Reductive Groups
Pure Maths Colloquium, University of Manchester
22nd Mar Representations of Finite Reductive Groups
Pure Maths Colloquium, University of St. Andrews
17th Mar Some Asymptotic Variants of a Conjecture of Thompson
58th ARTIN Meeting, University of Manchester, UK
23rd Feb Some Asymptotic Variants of a Conjecture of Thompson
Algebra Seminar, University of Aberdeen, UK

2021

28th Jan Rationality Properties of Kawanaka Characters
Seminar Gruppen und Darstellungen, TU Kaiserslautern

2020

19th Nov Unitriangularity and Decomposition Matrices of Unipotent Blocks
Virtual Workshop on Recent Developments in Geometric Representation Theory, IAS, Princeton, USA
14th Oct Unitriangularity of Decomposition Matrices of Unipotent Blocks
(Virtual) Algebra Seminar, Queen Mary University
22nd Apr Unitriangularity of Decomposition Matrices of Unipotent Blocks
(Virtual) Algebra Seminar, University of Birmingham
6th Mar Unitriangularity of Decomposition Matrices of Unipotent Blocks
Algebra Seminar, Newcastle University
20th Feb Unitriangularity of Decomposition Matrices of Unipotent Blocks
London Algebra Colloquium, City University
10th Feb Unitriangularity of Decomposition Matrices of Unipotent Blocks
Algebra Seminar, University of York
5th Feb Unitriangularity of Decomposition Matrices of Unipotent Blocks
Algebra Seminar, University of Bristol
31st Jan Classifying isomorphism classes of algebraic groups
Computational and algorithmic methods workshop, Groups Representations and Applications, Isaac Newton Institute, Cambridge, UK
7th Jan Representations and unipotent classes
Introductory/instructional workshop, Groups Representations and Applications, Isaac Newton Institute, Cambridge, UK

2019

25th Apr Character Values at Unipotent Elements
Automorphic Forms and Representation Theory Seminar, Purdue University
7th Feb Character Values of Finite Reductive Groups
Colloquium, University of Arizona
5th Feb Bounding Character Values of Finite Reductive Groups
Lie Theory Seminar, UC Riverside
25th Jan Character Values of Finite Reductive Groups
Colloquium, University of Florida

2018

4th Dec Character Values of Finite Reductive Groups
Colloquium, University of Georgia
12th Apr Deligne–Lusztig induction and almost characters
Representations of Finite and Algebraic Groups, MSRI, Berkeley, USA
5th Feb Automorphisms and Characters of Finite Groups
Colloquium, University of Florida

2017

17th Oct Strutcture of Root Data and Smooth Regular Embeddings
New Perspectives in Representation Theory of Finite Groups, BIRS, Banff, Canada
(Slides are available here)
14th Jul Action of Automorphisms on Irreducible Characters of Symplectic Groups
Representation Theory in Kaiserslautern, Kaiserslautern, Germany
14th Jun Action of Automorphisms on Irreducible Characters of Symplectic Groups
Algebra Seminar, University of Cambridge
8th Jun Harish-Chandra Induction and Lusztig's Jordan Decomposition of Characters
London Algebra Colloquium, City University
1st May Action of Automorphisms on Irreducible Characters of Symplectic Groups
Algebra Seminar, University of Georgia
6th Jan Action of Automorphisms on Irreducible Characters of Symplectic Groups
AMS JMM Special Session - Representations and Related Geometry in Lie Theory, Hyatt Regency, Atlanta, USA

2016

27th May Self Normalising Sylow 2-Subgroups
Seventy-third BLOC Meeting, City University, London, UK
27th May Self Normalising Sylow 2-Subgroups
BLOC Meeting, City University
11th May Sums of Skew Characters of Symmetric Groups
Seminar Gruppen und Darstellungen, TU Kaiserslautern
1st Mar Generalised Gelfand–Graev Representations and Wave Front Sets
Algebraic Lie Theory Seminar, CU Boulder
26th Feb Computing Character Tables of Finite Groups
Colloquium, Metro State University Denver
(Slides are available here)

2015

11th Nov Character Values of Finite Reductive Groups at Unipotent Elements
Algebra Seminar, University of Cambridge
7th Oct Character Values of Finite Reductive Groups at Unipotent Elements
Algebra and Geometry Seminar, University of Bristol
15th Apr Generalised Gelfand–Graev Characters in Small Characteristics
Representations of Finite Groups, Oberwolfach, Germany

2014

5th Dec Inducing Characters of Weyl Groups
Nikolaus Conference 2014, RWTH Aachen, Germany
13th Nov Generalised Gelfand–Graev Representations in Small Characteristics
London Algebra Colloquium, Imperial College (London)
29th May Decomposing Generalised–Graev Representations (GGGRs)
Algebra Seminar, University of Birmingham
29th Apr Decomposing Generalised–Graev Representations
Algebra Oberseminar, Universität Stuttgart
25th Mar Groups: The Language of Symmetry
Undergraduate Colloquium, University of Georgia
24th Mar Character Sheaves and GGGRs
Algebra Seminar, University of Georgia
(Slides are available here)
20th Mar Character Sheaves and GGGRs
Global/Lobal Conjectures in Representation Theory of Finite Groups, BIRS, Banff, Canada
(Slides are available here)

2013

5th Nov Decomposing Generalised Gelfand–Graev Representations (GGGRs)
Group Theory Seminar, EPFL
23rd Oct Representations of Finite Groups Through Geometry
Mathematics and Statistics Colloquium, National University of Ireland
6th Sep Decomposing Generalised Gelfand–Graev Representations (GGGRs)
Brauer's Problems - 50 Years On (honouring Geoff Robinson's 60th Birthday), Manchester, England
28th Jun On Lusztig's Conjecture for Character Sheaves of Classical-Type Groups
Cohomology in Lie Theory, Oxford, England
(Slides are available here)

2012

25th Oct Unipotent Supports and Generalised Gelfand–Graev Representations (GGGRs)
Séminaire Claude Chevalley, Paris VII

2011

11th Nov On Unipotent Supports for Finite Reductive Groups
Algebra Seminar, University of Oxford
11th Feb Unipotent Supports in Finite Reductive Groups
Technische Universität Kaiserslautern
4th Feb Unipotent Supports in Finite Reductive Groups
Emmy-Noether Seminar, Universität Erlangen-Nürnberg
17th Jan The Classification of Complex Characters of a Finite Reductive Group
Lie Theory Oberseminar, Ruhr Universität Bochum

2010

11th Dec Unipotent Supports in Finite Reductive Groups
Nikolaus Conference 2010, Aachen, Germany
1st Jul Conjugacy Classes and Complex Characters in Finite Reductive Groups
PGTC 2010, St. Andrews, Scotland
(Slides are available here)
24th May Combinatorics of Weyl Groups and Kazhdan-Lusztig Polynomials
Sheaves in Representation Theory, Isle of Skye, Scotland
19th Feb On Lusztig's Classification of Irreducible Representations of Finite Groups of Lie Type
Junior Algebra Seminar, Cambridge University

2009

16th Apr Conjugacy Classes of Semisimple Elements in an Algebraic Group and Its Associated Finite Groups
PGTC 2009, Manchester, England
(Slides are available here)