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CMSA New Technologies in Mathematics: Towards AI for mathematical modeling of complex biological systems: Machine-learned model reduction, spatial graph dynamics, and symbolic mathematics

CMSA EVENTS

November 11, 2020      3:00 pm
Speaker: Eric Mjolsness - University of California

The complexity of biological systems (among others) makes demands on the complexity of the mathematical modeling enterprise that could be satisfied with mathematical artificial intelligence of both symbolic and numerical...
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Frobenius and the Hodge numbers of the generic fiber

NUMBER THEORY

November 11, 2020      3:00 pm
Speaker: Zijian Yao - CNRS/Harvard

For a smooth proper (formal) scheme X defined over a valuation ring of mixed characteristic, the crystalline cohomology H of its special fiber has the structure of an F-crystal, to...
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A new perspective on the 2D Toda-RS correspondence

DIFFERENTIAL GEOMETRY

November 10, 2020      8:00 pm
Speaker: Matej Penciak - Northeastern University

The 2D Toda system consists of a complicated set of infinitely many coupled PDEs in infinitely many variables that is known to assemble into an infinite-dimensional integrable system. Krichever and...
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Learning to Unknot

MATHEMATICAL PICTURE LANGUAGE

November 10, 2020      10:00 am
Speaker: Sergei Gukov - California Institute of Technology

How does a child learn to speak, without prior direct communication, nor with having dictionary to translate words from another language? How do we learn to play chess, with no...
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On the Zariski closure of the positive dimensional Hodge locus

HARVARD-MIT ALGEBRAIC GEOMETRY

November 10, 2020      10:00 am
Speaker: Bruno Klingler - Humboldt University, Berlin

Given a variation of Hodge structures $V$ on a smooth complex quasi-projective variety $S$, its Hodge locus is the set of points $s$ in $S$ where the Hodge structure $V_s$...
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Learning to Unknot

MATHEMATICAL PICTURE LANGUAGE

November 10, 2020      10:00 am
Speaker: Sergei Gukov - California Institute of Technology

How does a child learn to speak, without prior direct communication, nor with having dictionary to translate words from another language? How do we learn to play chess, with no...
Read more