Pure Maths Seminar Series

Pure Mathematics Seminars are usually held at 2:00pm on Tuesdays in room 119 of the Michael Atiyah building, preceded by lunch at 12:30 in the Charles Wilson building, and followed by tea and biscuits. All are welcome to these seminars. For any questions or comments please contact Salvatore Stella, s.stella@leicester.ac.uk

Only events in Fall 2019 are listed below. Past events can be found on this page, and past events 2017 onwards can be found in the Pure Maths Seminar Archive.

• 2019-09-24: Rachel Newton (University of Reading)
  Title: Counting failures of a local-global principle
  Abstract: Methods for solving polynomial equations in the integers and rationals have been sought and studied for more than 4000 years. Modern approaches try to piece together 'local' (meaning real and p-adic) information to decide whether a polynomial equation has a 'global' (meaning rational) solution. I will describe this approach and its limitations, with the aim of quantifying how often the local-global method fails within families of polynomial equations arising from the norm map between fields, as seen in Galois theory. This is joint work with Tim Browning.
• 2019-10-01: Alexandre Zalesski (University of East Anglia)
  Title: Eigenvalue 1 of elements of finite groups of Lie type in their representations in the defining characteristic
  Abstract: For various applications one needs information on existence and multiplicities of eigenvalues of individual elements of groups in their representations. In general the problem is untreatable, but many special cases were discussed in the literature. The eigenvalue 1 is more significant due to its geometric nature. For groups of Lie type and representations in defining characteristic the theory of weights is a very helpful tool. In the talk I shall discuss the problem on the occurrence of eigenvalue 1 of all elements in a group representation, and state some recent results.
• 2019-10-08: Vincent Pilaud (CNRS)
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• 2019-10-15: Andrea Appel (University of Edinburgh)
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• 2019-10-22:
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• 2019-10-29: Double talk
  • Sonia Trepode (Universidad Nacional de Mar del Plata)
    Title: On the representation dimension of artin algebras and Auslander's generators.
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  • Elsa Fernández (Universidad Nacional de Mar del Plata)
    Title: Isomorphic Trivial Extensions
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• 2019-11-05: Aaron Chan (University of Nagoya)
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• 2019-11-12: Chris Heunen (University of Edinburgh)
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• 2019-11-19: No meeting because of overlapping events:
  • Workshop on topological methods in group representation theory
  • Postgraduate Conference in Category Theory and its Applications
• 2019-11-26: Valentina Di Proietto (University of Exeter)
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• 2019-12-03: Celeste Damiani (University of Leeds)
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• 2019-12-10:
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