This meeting is intended as an introduction to the General Meeting on 2 July 2021, at which Emily Riehl (Johns Hopkins University) will give the LMS Lecture on Elements of ∞-Category Theory. All graduate students (and indeed any other mathematicians) welcome.
The event will include a talk by Markus Land (Copenhagen), opportunities for Graduate Students to give 15 minute talks on their research to a general mathematical audience and a chance to meet the Early Career Research Committee and to discuss how the Society supports Early Career Researchers through its activities.
Programme - all timings are in BST.
13.00 Opening of Meeting
Markus Land (Copenhagen)– Infinity-categories in Algebra and Topology
Abstract: I will begin by recalling the notion of a category and their use in various aspects of mathematics. I will then indicate why categories do not capture all phenomena that one encounters in practice, and use this to give an informal picture of what an infinity category is and what sort of problems they allow to treat in an efficient way. I will make no precise definitions and rather focus on ideas and examples.
14.00 Graduate Student Talks (Breakout Rooms)
Room 1 – Algebras:
- 2.00 pm Alice Dell'Arciprete (UEA) Blocks of Ariki-Koike algebras.
- 2.15 pm Davide Morigi (UEA) A brief introduction to preprojective algebras.
- 2.30 pm Michael Rosbotham (QUB) Cohomological dimension for C*-algebras
Room 2 - Graphs:
- 2.00pm Sam Mutter (Newcastle) k-dimensional dominoes and k-rank graphs
- 2.15pm Carl-Fredrik Nyberg Brodda (UEA) Context-free Graphs in Context.
- 2.30pm Davide Leonessi (Oxford) Transfinite Game Values in Infinite Games
Room 3 – Polytopes/Groups:
- 2.00pm Monika Kudlinska (Oxford) Fibering of 3-manifolds and free-by-cyclic groups via polytopes
- 2.15pm Aura-Cristiana Radu (Newcastle) The extensions between simple modules for the Ree groups of type F4
- 2.30pm Nicholas Williams (Leicester) The higher Stasheff-Tamari orders on triangulations of cyclic polytopes
Room 4 - Number Theory / Algebraic Geometry:
- 2.00pm Pedro-Jose Carzola Garcia (Manchester) What's left after Fermat's Last Theorem?
- 2.15pm Tarun Dalal (Indian Institute of Technology, Hyderabad) The structure of Drinfeld modular forms of level $\Gamma_0(T)$ and applications.
- 2.30pm Andrew Pearce-Crump (York) A Discrete Mean-Value Theorem for the Higher Derivatives of the Riemann Zeta Function.
- 2.45pm Abhiram Natarajan (University of Colorado-Boulder) Topological Questions in Random Real Algebraic Geometry
Prizes will be awarded for the best talks.
15.00 Prize award and Break
15.10 Introductions to the Early Career Research Committee and its work.
15.20 Break out rooms to discuss the LMS activities for Early Career Researchers.
15.45 Break out rooms close and all return to the main room. Questions from the floor.
16.00 Meeting ends and thanks.
Registration has now closed: The Zoom link will be circulated to registered participants on Thursday 24 June prior to the meeting. Where possible, we will try to accommodate late registrations - please email email@example.com
Please note that registration for the LMS General Meeting and LMS Lecture is separate to registration for this event. If you would like to attend both events, please do register for each one. Details about the General Meeting and how to register are available here.