Quivers, Clusters, Moduli and Stability

9th–13th January 2023, University of Oxford

Main

Venue

Participants

Program

Abstracts

Getting Here

“Quivers, Clusters, Moduli and Stability” Program

All talks are in Mathematical Institute/Lecture Theatre L2

Mon 9th January

10:00 – 11:30           Registration

11:30 – 12:30           Gregory Sankaran (Bath)
                              “Abelian surfaces, a famous list of primes and no group theory”
14:15 – 15:15           Alexandra Zvonareva (Stuttgart)
                              “Derived equivalences of Brauer graph algebras and the action of spherical twists”
15:45 – 16:45           Sibylle Schroll (Cologne) (online)
                              “Braid group actions on branched coverings and full exceptional sequences”
17:00 – 18:00           Markus Reineke (Bochum)
                              “Some questions on quiver moduli”

Tue 10th January

10:00 – 11:00           Dominic Joyce (Oxford)
                              “The structure of invariants counting coherent sheaves on complex surfaces”
                              Slides (PDF)
11:30 – 12:30           Richard Thomas (Imperial)
                              “Counting sheaves and representations of CY4 quivers”
                              Slides (PDF)

12:30 – 14:15           Lunch

14:15 – 15:15           Luis Álvarez-Cónsul (ICMAT, Madrid)
                              “Embedding superconformal vertex algebras from Killing spinors and \((0,2)\) mirror symmetry”
15:45 – 16:45           Oscar García-Prada (ICMAT, Madrid)
                              “Vinberg pairs and Higgs bundles”
17:00 – 18:00           Tom Bridgeland (Sheffield)
                              “Clusters and twistors”

Wed 11th January

10:00 – 11:00           Katrin Wendland (Trinity College Dublin)
                              “An application of folding ADE to BCFG”
11:30 – 12:30           Wolfgang Schief (New South Wales)
                              “Clifford lattices and a conformal generalization of Desargues’ theorem”

12:30 – 14:15           Lunch

14:15 – 15:15           Konstanze Rietsch (King’s College London)
                              “Tropical Edrei theorem”
15:45 – 16:45           Yang-Hui He (London Institute for Mathematical Sciences)
                              “Machine-learning algebraic geometry”
                              Slides (PDF)
17:00 – 18:00           Amihay Hanany (Imperial)
                              “Branes and Quivers”

19:00 – . . . .            Conference Dinner at Mansfield College

Thu 12th January

10:00 – 11:00           Xiuping Su (Bath)
                              “Grassmannian cluster category and mirror symmetry”
11:30 – 12:30           Michael Wemyss (Glasgow)
                              “Spherical objects in dimension 2 and 3”

12:30 – 14:15           Lunch

14:15 – 15:15           Bernhard Keller (Paris) (online)
                              “The blue vs. red game and applications”
15:45 – 16:45           Alastair Craw (Bath)
                              “Birational geometry of quiver varieties”
17:00 – 18:00           Miles Reid (Warwick)
                              “Remarks on the Tate–Oort group”

Fri 13th January

10:00 – 11:00           İlke Çanakçı (VU Amsterdam)
                              “A super CC-map”
11:15 – 12:15           Victoria Hoskins (RU Nijmegen)
                              “Projectivity of quiver moduli revisited”
12:30 – 13:30           Joseph Chuang (CU London)
                              “Rank functions on triangulated categories”

13:30                       The End

Related UK activities:

COW Seminar, a long-running UK-wide algebraic geometry seminar.

The Calf, a graduate student oriented version of COW.

GLEN, a northern COW.

EmSG, Eastern Midlands Algebraic Geometry Seminar.

3CinG, an EPSRC-funded research collaboration between Imperial, Warwick, and Cambridge.

Enhancing RNG, an EPSRC-funded research collaboration between Edinburgh, Glasgow, and Sheffield.

Combinatorial Representation Theory, an EPSRC-funded research collaboration based in Leeds

@ Mathematical Institute, University of Oxford, Andrew Wiles Building, Woodstock Road, Oxford, OX2 6GG
Funded by the London Mathematical Society (LMS), Foundation Compositio Mathematica, and the Engineering and Physical Sciences Research Council (EPSRC)