London Number Theory Seminar

UCL King's Imperial College


The London Number Theory Seminar is held weekly, on Wednesdays, during term time. The location of the seminar cycles between KCL, Imperial College and UCL. Here is our diversity policy.

This term (Spring 2020), the seminar will be hosted by UCL, and will be on Wednesdays at 4pm in room 505 of the maths department (25 Gordon St), starting on 15th Jan. The one exception: on 18th March it will be in 26 Bedford Way, room LG04. The organisers are Chris Birkbeck and Peter Humphries. Up to date details are here. The seminar will be preceded by tea/coffee in the 6th floor common room.

15 Jan 2020 - Matthew Bisatt (Bristol)
Title: Tame torsion of Jacobians and the tame inverse Galois problem
Abstract: Fix positive integers g and m. Does there exist a genus g curve, defined over the rationals, such that the mod m representation of its Jacobian is everywhere tamely ramified? I will give an affirmative answer to this question when m is squarefree via the theory of hyperelliptic Mumford curves. I will also and give an application of this to a variant of the inverse Galois problem. This is joint work with Tim Dokchitser.

22 Jan 2020 - Spencer Bloch (University of Chicago)
Title: Gamma Functions, Monodromy, and Apéry Constants.
Abstract:
1) Recall of the theory of periods for local systems on curves.
2) Definition (V. Golyshev) of motivic gamma functions as Mellin transforms of period integrals.
3) Main theorem (joint with M. Vlasenko)
4) Application to the gamma conjecture in mirror symmetry (work of Golyshev + Zagier).

29 Jan 2020- Giada Grossi (UCL)
Title: The p-part of BSD for residually reducible elliptic curves of rank one
Abstract: Let E be an elliptic curve over the rationals and p a prime such that E admits a rational p-isogeny satisfying some assumptions. In a joint work with J. Lee and C. Skinner, we prove the anticyclotomic Iwasawa main conjecture for E/K for some suitable quadratic imaginary field K. I will explain our strategy and how this, combined with complex and p-adic Gross-Zagier formulae, allows us to prove that if E has rank one, then the p-part of the Birch and Swinnerton-Dyer formula for E/Q holds true.

05 Feb 2020 - Efthymios Sofos (University of Glasgow)
Title: TBA
Abstract: TBA

12 Feb 2020 - Sandro Bettin (Università degli studi di Genova)
Title: TBA
Abstract: TBA

19 Feb 2020 - Sarah Peluse (Oxford University)
Title: TBA
Abstract: TBA

26 Feb 2020 - Djordje Milicevic (Bryn Mawr/Max Planck)
Title: TBA
Abstract: TBA

04 Mar 2020 - TBA
Title: TBA
Abstract: TBA

11 Mar 2020 - Javier Fresán (École polytechnique)
Title: TBA
Abstract: TBA

Note: seminar on 18th is in 26 Bedford Way, room LG04
18 Mar 2020 - Tiago da Fonseca (Oxford University)
Title: TBA
Abstract: TBA

25 Mar 2020 - Chris Lazda (Warwick University)
Title: TBA
Abstract: TBA

The seminar will be preceded by various study groups.

A list of previous seminar talks is here.


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This page is maintained by Kevin Buzzard.