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Prismatic Dieudonné theory

NUMBER THEORY

May 13, 2020      3:00 pm
Speaker: Arthur-Cesar Le Bras - CNRS/Paris-13

I would like to explain a classification result for p-divisible groups, which unifies many of the existing results in the literature. The main tool is the theory of prisms and...
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Symmetric power functoriality for modular forms

NUMBER THEORY

May 6, 2020      3:00 pm
Speaker: James Newton - King's College London

 Langlands functoriality predicts the transfer of automorphic representations along maps of L-groups. In particular, the symmetric power representation Symm^{n-1} of GL(2) should give rise to a lifting from automorphic representations...
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Bounding torsion in class groups and families of local systems

NUMBER THEORY

April 8, 2020      3:00 pm
Speaker: Jacob Tsimerman - University of Toronto

via Zoom Video Conferencing: https://harvard.zoom.us/j/136830668 (joint w/ Arul Shankar) We discuss a new method to bound 5-torsion in class groups of quadratic fields using the refined BSD conjecture for elliptic curves. The most...
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Sato-Tate groups of abelian threefolds

NUMBER THEORY

March 25, 2020      3:00 pm
Speaker: Francesc Fité - MIT

via Zoom Video Conferencing: https://harvard.zoom.us/j/136830668 The Sato-Tate group of an abelian variety A of dimension g defined over a number field is a compact real Lie subgroup of the unitary...
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**CANCELED** Schinzel-Zassenhaus, height gap and overconvergence

NUMBER THEORY

March 11, 2020      3:00 pm
Speaker: Vesselin Dimitrov - University of Toronto

We explain a new height gap result on holonomic power series with rational coefficients, and prove the Schinzel-Zassenhaus conjecture as its consequence: a monic irreducible non-cyclotomic integer polynomial of degree...
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Non-random behaviour in sums of modular symbols

NUMBER THEORY

March 4, 2020      3:00 pm
Speaker: Alex Cowan - Harvard University

We give explicit expressions for the Fourier coefficients of Eisenstein series twisted by Dirichlet characters and modular symbols on $\Gamma_0(N)$ in the case where $N$ is prime and equal to...
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Malle’s Conjecture for octic $D_4$-fields

NUMBER THEORY

February 19, 2020      3:00 pm
Speaker: Ila Varma - University of Toronto

We consider the family of normal octic fields with Galois group $D_4$, ordered by their discriminant. In forthcoming joint work with Arul Shankar, we verify the strong form of Malle's conjecture for this family of...
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