2022/23
Organisers: Rhys Davies and Isambard Goodbody
26th April 2023
Finite dimensional algebras
29th March 2023
Lewis Dean
Ahead of Valentin Buciumas: The spherical Hecke algebra and its Gelfand-Graev representation
22th March 2023
Parth Shimpi
Log Calabi-Yau and Cluster Varieties
Ahead of Tim Magee: Grassmannians, Plabic Graphs, and Mirror symmetry for Cluster Varieties
8th March 2023
Dave Murphy
Cluster algebras and mutation
Ahead of Emine Yıldırım: Computing Cluster Expansions via matrices
1st March 2023
Yan Yau Cheng (University of Edinburgh)
Ahead of Minhyong Kim: Path Integrals and p-adic L-functions
22nd February 2023
Ahead of Theo Papazachariou: K-moduli for log Fano complete intersection
15th February 2023
Simone Castellan and Rhys Davies
Dunkl-Dirac Operators
Ahead of Alexis Langlois-Rémillard: Representations of the Dunkl total angular momentum algebra
1st February 2023
Parth Shimpi
Moduli spaces, G-clusters and the classical McKay correspondence
Ahead of Ryo Yamagishi: McKay correspondence and moduli of G-constellations
7th December 2022
Ahead of Panupong Cheewaphutthisakun: MacMahon KZ equation for Quantum Toroidal \mathfrak{gl}_1 Algebra
23rd November 2022
Additive, k-linear, triangulated and 2-Calabi-Yau categories
Ahead of Dave Murphy: Grothendieck Groups of Discrete Cluster Categories
9th November 2022
Kazhdan-Lusztig Theory
Ahead of Chris Bowman: What has p-Kazhdan–Lusztig theory done for us?
2nd November 2022
What is the Temperley-Lieb Category?
Ahead of Joseph Grant: Frobenius algebra objects in Temperley-Lieb categories at roots of unity
26th October 2022
Isambard Goodbody
Finitistic Dimension Conjecture
Ahead of Jeremy Rickard: Finistic dimension and derived categories
19th October 2022
Cameron Wilson
The Inverse Galois Problem, The Hilbert Property & The Weak Weak Approximation
Ahead of Damian Gvirtz-Chen: Hilbert Irreducibility Theorems for varieties of intermediate type
12th October 2022
Braid groups and hyperplane arrangements
Ahead of Caroline Namanya: Pure braid group presentations via longest elements
5th October 2022
Cyclic quotients and continued fractions
Ahead of Brian Makonzi: The Artin component and simultaneous resolution via reconstruction algebras of type A
28th September 2022
Function Fields and the Circle Method
Ahead of Leonhard Hochfilzer: On a question of Davenport and diagonal cubic forms over Fq(t)
21st September 2022
Hecke algebras, links and the HOMFLY-PT polynomial
Ahead of Kostiantyn Tolmachov: Character sheaves and Khovanov-Rozansky homology
14th September 2022
Simone Castellan
Classical Howe duality and introduction to Cherednik algebras
Ahead of Kieran Calvert: Subalgebras of the Cherednik algebra occurring within Howe duality