Since its inception, algebraic geometry would translate its problems, such as the study of sheaves or vector bundles on algebraic varieties, to problems in pure algebra, such as the study of representations of quivers. It is often possible to take methods which were developed to solve a geometric problem and apply them to solve an algebraic problem, or vice versa. This translation frequently involves homological methods, for example the consideration of derived categories, which are interesting and powerful tools in their own right.

The primary aim of this meeting is to foster interactions between geometers and algebraists, so that problems and methods can be shared between these communities. It also serves to celebrate the 60th birthday of Prof. Alastair King. In the course of his long academic career, he has made a number of highly significant and original contributions to algebraic geometry, representation theory, and to the relationship between them.

Organisers:

• Nathan Broomhead (Plymouth)
• Henry Liu (Oxford)
• Timothy Logvinenko (Cardiff)
• Matthew Pressland (Glasgow)
• Yŭ Qiū (Tsīnghuá)

Speakers:

• Luis Álvarez-Cónsul (ICMAT)
• Tom Bridgeland (Sheffield)
• İlke Çanakçı (VU Amsterdam)
• Joseph Chuang (CU London)
• Alastair Craw (Bath)
• Oscar García-Prada (ICMAT)
• Amihay Hanany (Imperial)
• Yang-Hui He (London Institute for Mathematical Sciences)
• Victoria Hoskins (RU Nijmegen)
• Dominic Joyce (Oxford)
• Bernhard Keller (Paris) (online)
• Miles Reid (Warwick)
• Markus Reineke (Bochum)
• Konstanze Rietsch (King's College London)
• Gregory Sankaran (Bath)
• Wolfgang Schief (New South Wales)
• Sibylle Schroll (Cologne) (online)
• Xiuping Su (Bath)
• Richard Thomas (Imperial)
• Michael Wemyss (Glasgow)
• Katrin Wendland (Trinity College Dublin)
• Alexandra Zvonareva (Stuttgart)

Application:

Anyone interested is welcome to attend. You may register by filling out the the registration form, but as of 1st December 2022 we will no longer be able to accept further requests for financial support.

Contact:

Further questions and inquiries, including those about the financial support, can be addressed to:

• LogvinenkoT at cardiff.ac.uk
• matthew.pressland at glasgow.ac.uk

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