The GEARS seminar
The Glasgow Edinburgh Algebra Research Student seminar
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The Glasgow Edinburgh Algebra Research Student seminar is an informal meeting between algebra (loosely interpreted!) PhD students and postdocs from Edinburgh, Heriot-Watt, and Glasgow universities. We meet roughly five times per year and give participants the opportunity to either speak about their research, or present an important paper in their area. These meetings normally take place in the late afternoon/evening and the location alternates between Glasgow and Edinburgh.
The GEARS seminar is currently organised by Tuan Pham (Edinburgh), Parth Shimpi (Glasgow), and Oli Jones (Heriot–Watt). For previous organisers, please see the relevant tabs.
We are grateful for the financial support from: the Glasgow Mathematical Journal Learning and Research Support Fund, the Edinburgh Researcher Development Fund, the Heriot-Watt Small Project Grant Scheme, and the EPSRC Programme Grant "Enhancing Representation Theory, Noncommutative Algebra And Geometry Through Moduli, Stability And Deformations."
Upcoming Meetings
Upcoming Meetings
February GEARS Meeting
Date: 11th February 2025,
Time: 14:00 – 17:00,
Location: Glasgow, School of Mathematics and Statistics, Room 110
Speakers: Gabriel Frey (Glasgow), Xiang Li (Edinburgh), Antau Yang (Glasgow).
14.00 – 14.50: Gabriel Frey (Glasgow)
Title: Equivariant Cohomology and Applications in Geometric Invariant Theory
Abstract: Equivariant cohomology is a cohomology theory from algebraic and differential topology which generalizes the notion of cohomology of spaces endowed with a group action. In this talk, we introduce the notion of equivariant differential forms and cohomology, explain some examples such as its relation with moment maps in symplectic geometry and show how they can be used to compute the cohomology of geometric invariant theory (GIT) quotients, a result known as Kirwan's surjectivity theorem.
14.55 – 15.45: Xiang Li (Edinburgh)
Title: TBC
Abstract: TBC
15.45- 16.10: coffee break
16.10-17.00: Antau Yang (Glasgow)
Title: Continued Fractions in the Field of p-adic Numbers
Abstract: Continued fractions have been extensively explored over the reals. But there are still a lot of openproblems for the ones over the 𝑝-adic field. A natural attempt is to find any analogue results. For many years, people have developed new algorithms and have analyzed their performance. I will quickly summarize the known results and share what I have tried so far.
Photos from our meetings: Dec 2023 and December 2024
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