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On the cohomology of moduli of abelian varieties

HARVARD-MIT-BU-BRANDEIS-NORTHEASTERN

April 15, 2021      4:30 pm
Speaker: Melody Chan - Brown University

I’ll discuss recent work using tropical techniques to find new rational cohomology classes in moduli spaces A_g of abelian varieties, building on previous joint work with Galatius and Payne on M_g. I...
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CMSA Quantum Matter in Mathematics and Physics: QCD without diagrams

CMSA EVENTS

April 15, 2021      10:30 am
Speaker: Michael Creutz - Brookhaven National Laboratory

QCD, the theory of the strong interactions, involves quarks interacting with non-Abelian gluon fields. This theory has many features that are difficult to impossible to see in conventional diagrammatic perturbation...
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Arithmetic curves lying in compact subsets of affine schemes

NUMBER THEORY

April 14, 2021      3:00 pm
Speaker: François Charles - Université Paris-Sud

We will describe the notion of affine schemes and their modifications in the context of Arakelov geometry. Using geometry of numbers in infinite rank, we will study their cohomological properties....
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Aspects of M Theory

MATHEMATICAL PICTURE LANGUAGE

April 13, 2021      10:00 am
Speaker: Jens Hoppe - Technische Universitat Braunschweig

After giving a brief introduction to Membrane Theory and its matrix regularization, commenting on an inherent dynamical symmetry for all M-branes (the related “reconstruction-algebra” for M=1, strings, being the Virasoro algebra),...
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CMSA Mathematical Physics Seminar: Networks and quantization

CMSA EVENTS

April 12, 2021      10:00 am
Speaker: Fei Yan - Rutgers University

I will describe two quantization scenarios. The first scenario involves the construction of a quantum trace map computing a link "invariant" (with possible wall-crossing behavior) for links L in a...
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Canonical heights and vector heights in families

ALGEBRAIC DYNAMICS

April 9, 2021      10:00 am
Speaker: Alex Carney - University of Rochester

Canonical heights are a standard tool of arithmetic dynamics over global fields. When studying families of dynamical systems, or systems over larger fields, however, there are significant geometric obstacles to...
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