Algebra Seminar Speaker: Linquan Ma (Purdue University) Title: Lech's inequality and stability of local rings Abstract: We explore Lech's inequality relating the colength and multiplicity of m-primary ideals in a Noetherian local ring (R,m). We introduce a natural invariant that measures the sharpness of Lech's inequality and show its connections with singularities of asymptotically semistable varieties […]
Differential Geometry and Physics Seminar Speaker: Andy Neitzke, Yale Title: Abelianization of tau functions Abstract: The symplectic and hyperkahler geometry of moduli spaces of flat connections over Riemann surfaces is in a sense quantized by the theory of isomonodromic tau functions. These functions in turn arise as partition functions in the conformal field theory of […]
Member Seminar Speaker: Blake Bordelon Title: DMFT, Two Point Correlations of Resolvents, and Applications to Machine Learning Theory Abstract: Machine learning algorithms evolve the parameters of a model in a high dimensional and disordered loss landscape. To characterize the effects of random initialization of model parameters, randomly sampled training data, and the effect of SGD noise, it […]
Freedman Seminar Speaker: Michael Freedman, Harvard CMSA Title: Sullivan's work on Lipschitz structures Abstract: I'll begin with an elementary, but now little known, piece of PL topology: engulfing. John Stalling used it to give an alternative proof of the high dimensional Poincare conjecture. Then I'll explain Dennis Sullivan's enhancement of Kirby's torus trick (which relies […]
Quantum Field Theory and Physical Mathematics Seminar Speaker: Adrian López-Raven, Perimeter Title: Categorical 't Hooft expansion and Chiral Algebras Abstract: In https://arxiv.org/abs/2411.00760, we show how holographic dual B-model backgrounds can be systematically derived from the 't Hooft expansion of specific families of chiral algebras. The resulting holographic dual backgrounds are typically non-commutative and appear to be […]
Two talks on Function-theoretic implications of geometric Langlands Dates: October 20 & 21, 2025 Time: 4:30–5:30 pm Location: Science Center Lecture Hall A and via Webinar Speaker: Dennis Gaitsgory, Max Planck Institute for Mathematics Abstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms […]
Two talks on Function-theoretic implications of geometric Langlands Dates: October 20 & 21, 2025 Time: 4:30–5:30 pm Location: Science Center Lecture Hall A and via Webinar Speaker: Dennis Gaitsgory, Max Planck Institute for Mathematics Abstract: The recently established geometric Langlands equivalence implies an explicit description of the space of (unramified) automorphic functions in terms of […]
CMSA Q&A Seminar Speaker: Thomas Grimm, Utrecht & CMSA Topic: What is o-minimality and what is it good for?
New Technologies in Mathematics Seminar Speaker: María Inés de Frutos Fernández, Mathematical Institute, University of Bonn Title: The Carleson project: A collaborative formalization Abstract: A well-known result in Fourier analysis establishes that the partial Fourier sums of a smooth periodic function $f$ converge uniformly to $f$, but the situation is a lot more subtle for […]
Algebra Seminar Speaker: Zhiwei Yun, MIT Title: Character sheaves on the loop Lie algebra and its global implications Abstract: Motivated by Lusztig's definition of character sheaves on a reductive Lie algebra, we propose a definition of character sheaves on the loop Lie algebra. The construction can be viewed as a p-adic analogue of the orbit […]
Differential Geometry and Physics Seminar Speaker: Ron Donagi, UPenn Title: On some new irrationality results Abstract: An algebraic variety X is rational if a Zariski-open subset of X is isomorphic to a Zariski-open subset of projective space. A weaker property is unirationality: X is unirational if a Zariski-open subset of projective space maps onto a Zariski-open […]
Member Seminar Speaker: Stephen Landsittel, CMSA Title: Analytic Spread of Binomial Edge Ideals Abstract: To an ideal J in a polynomial ring R over a field K we associate its analytic spread \ell(J), which is the dimension of the fiber cone F(J) of J. When J is graded and generated in a single degree d, then […]