DIFFERENTIAL GEOMETRY
October 20, 2020 8:00 pmWhen we upgrade from equivariant cohomology to equivariant K-theory, many important algebraic/geometric tools such as dimensional vanishing become inapplicable in general. I will explain some nice conditions we can impose on K-theory...
Read more
HARVARD-MIT ALGEBRAIC GEOMETRY
October 20, 2020 3:00 pmStringy Hodge numbers are certain generalizations, to the singular setting, of Hodge numbers. Unlike usual Hodge numbers, stringy Hodge numbers are not defined as dimensions of cohomology groups. Nonetheless, an...
Read more
CMSA EVENTS
October 20, 2020 11:30 amEvery Boolean function can be uniquely represented as a multilinear polynomial. The entropy and the total influence are two ways to measure the concentration of its Fourier coefficients, namely the monomial coefficients in this...
Read more
MATHEMATICAL PICTURE LANGUAGE
October 20, 2020 10:00 amI discuss some strategies for finding fusion rings of low rank (or if you prefer, fusion rules for a small number of objects) and corresponding tensor categories, or solutions to...
Read more
CMSA EVENTS
October 19, 2020 10:30 am3d mirror symmetry is a proposed duality relating a pair of 3-dimensional supersymmetric gauge theories. Various consequences of this duality have been heavily explored by representation theorists in recent years,...
Read more
CMSA EVENTS
October 15, 2020 10:30 amThe pseudogap phase of cuprate superconductors is arguably the most enigmatic phase of quantum matter. We aim to shed new light on this phase by investigating the non- superconducting ground state of...
Read more
CMSA EVENTS
October 14, 2020 9:00 amNoisy intermediate-scale quantum (NISQ) Computers hold the key for important theoretical and experimental questions regarding quantum computers. In the lecture I will describe some questions about mathematics, statistics and computational...
Read more
MATH TABLE
October 14, 2020 4:30 pmProving a result that’s more general than intended can often be a cause to celebrate! But it can also be a red flag, indicating that a particular technique is not...
Read more
NUMBER THEORY
October 14, 2020 3:00 pmThe Bloch--Kato conjecture predicts that the dimension of the Selmer group of a global Galois representation is equal to the order of vanishing of its L-function. In this talk, I...
Read more
CMSA EVENTS
October 14, 2020 3:00 pmClassical learning theory suggests that the optimal generalization performance of a machine learning model should occur at an intermediate model complexity, striking a balance between simpler models that exhibit high...
Read more