Johns Hopkins UniversityEST. 1876
America’s First Research University
|
Sunday
|
Monday
|
Tuesday
|
Wednesday
|
Thursday
|
Friday
|
Saturday
|
|---|---|---|---|---|---|---|
|
0 events,
|
1 event,
-
Title: Ricci Solitons and Hamiltonian DynamicsAbstract: In this talk, we will discuss a specific connection between a Kähler Gradient Ricci soliton (GRS) and Hamiltonian dynamics. The former is a singularity model of the Kahler version of Ricci flows and a generalization of Einstein metrics while the latter comes from classical mechanics. In particular, we show […] |
1 event,
-
Title: Poincaré Duality in abstract 6-functor formalismsAbstract: In this talk, I will discuss Poincaré Duality in the context of abstract 6-functor formalisms. Somewhat surprisingly, a 6-functor formalism satisfies an appropriate form of Poincaré Duality under a relatively weak set of extra assumptions. Most importantly, these assumptions are essentially independent of the ``coefficient'' categories D(X).This makes […] |
1 event,
-
Robust and Interpretable Learning for Medical Image ComputingThe unprecedented advances of modern machine learning have unlocked the potential for faster and more accurate data-driven analysis. However, ideal algorithmic setups often fall short in practice, especially in diverse clinical practice on the bed side. In this talk, I will discuss two lines of my research aimed at […] |
0 events,
|
0 events,
|
|
|
0 events,
|
2 events,
-
Title: Bounds for spectral projectors on the three-dimensional torusAbstract: Periodic functions can be expanded in Fourier series, a linear combination of exponentials indexed by the integers. Despite the explicitness of the involved expressions, it is a difficult problem to take information about the frequency support of a function and deduce information on the physical side. […]
-
Title: Categorifying Jacobi-TrudiAbstract: We discuss a way to categorify the famous Jacobi-Trudi identity by constructing a quasi-hereditary algebra A with a map kS_n to A; the “dominant simple” of A admits a BGG resolution, and after restricting to kS_n, we obtain a resolution of a simple module of kS_n by permutation modules. The algebra A […] |
0 events,
|
0 events,
|
0 events,
|
1 event,
-
Title: Metaplectic Whittaker functions and quantum groups Abstract: In papers from around 2010, Yiannis Sakellaridis describes the space of unramified functions on the p-adic points of a spherical variety X in terms of the dual group of X (a reductive group). I will present a result which in some sense generalizes the one of Sakellaridis […] |
0 events,
|
|
0 events,
|
1 event,
-
Title: On singular points in the supercooled Stefan problemAbstract: The supercooled Stefan problem models how water, cooled below freezing, forms into ice. Experiments have shown that this process can exhibit nucleation (pieces of ice forming spontaneously) and that fractal-like patterns can emerge in the ice. This stands in sharp contrast with the melting problem, in which the […] |
2 events,
-
Title: Baily--Borel Compactifications of Period Images and the b-semiampleness Conjecture (following Bakker--Filipazzi--Mauri--Tsimerman)
-
Title: Spectral Fourier-Mukai transform and level-rank dualityAbstract: I will explain the construction of a Fourier-Mukai transform in the setting of spectral algebraic geometry of oriented elliptic curves, and discuss its fundamental properties. As an application, this yields a common refinement of three facets of the phenomenon known as "level–rank duality": positive-energy representations of LU(n)_k and LSU(k)_n […] |
1 event,
-
Title: A local sign decomposition for symplectic self-dual Galois representations of rank two Abstract: We present a new structure on the first Galois cohomology of families of symplectic self-dual p-adic representations of $G_Qp$ of rank two. This is a functorial decomposition into free rank one Lagrangian submodules encoding Bloch-Kato subgroups and epsilon factors, mirroring an […] |
0 events,
|
6 events,
-
Title: Resolution of toric substacks by line bundles revisitedAbstract: Beilinson’s locally free resolution of the diagonal for the projective space P^n plays an important role in the study of the derived category D^b(P^n). Recently, inspired by homological mirror symmetry for toric varieties, Hanlon, Hicks and Lazarev constructed cellular resolutions of structure sheaves of toric substacks […]
-
Title: Valuations at infinityAbstract: The interplay between the existence of canonical metrics and the space of valuations on a smooth complex projective variety has been extensively studied over the past decade. Building on this philosophy, it is also understood that if X is a smooth complex affine variety, then certain classes of canonical metrics are […]
-
Title: Topological Jacobi FormsAbstract: The Witten genus forms a bridge between topology and number theory: Witten showed that the elliptic genus of a string manifold takes values in modular forms, and the work of Goerss–Hopkins–Miller identifies it as a ring homomorphism from the bordism ring of string manifolds to the spectrum topological modular forms (TMF). […] |
|
|
0 events,
|
1 event,Title: Control of eigenfunctions on negatively curved manifoldsAbstract: Semiclassical measures are a standard object studied in quantum chaos, capturing macroscopic behavior of sequences of eigenfunctions in the high energy limit. They have a long history of study going back to the Quantum Ergodicity theorem and the Quantum Unique Ergodicity conjecture. I will speak about the […] |
3 events,
-
Title: 2-categorical affine symmetries and quantum boson algebrasAbstract: Representations of KLR (quiver Hecke) algebras categorify the positive part of the quantum group associated to any symmetrizable Cartan matrix. This categorical perspective makes certain symmetries more natural to study. For example, the induction and restriction functors between categories of KLR algebra modules play an important role […]
-
Title: On rational multisections of conic bundlesAbstract: The Enriques criterion for unirationality of conic bundles states that if X is a conic bundle over P^2, then X is unirational if and only if the conic bundle admits a rational multisection. Furthermore, if X is unirational but not rational, then such a rational multisection necessarily has even degree. […] |
0 events,
|
0 events,
|
0 events,
|
|
|
0 events,
|
0 events,
|
0 events,
|
0 events,
|
1 event, |
0 events,
|
0 events,
|
|
0 events,
|
1 event,
-
Title: Weighted Fourier Extension EstimatesAbstract: In this talk, we will survey recent results on weighted Fourier extension estimates and its variants. Such estimates ask for L^2 bounds of the Fourier extension operator on $alpha$-dimensional sets, and they have applications to several problems in PDEs and geometric measure theory, including size of divergence set of Schrodinger […] |
1 event,
-
Title: Webs, pockets, and buildingsAbstract: Kuperberg’s SL(3) non-elliptic web basis consists of certain trivalent planar graphs. Fontaine--Kamnitzer--Kuperberg showed that their duals may be realized as subcomplexes of a corresponding rank 2 affine building. The result is a collection of CAT(0) triangulated surfaces related to the geometric Satake correspondence. Recently, an SL(4) web basis was introduced […] |
1 event,
-
Title: Cuspidal Sheaves on the Stack of L-Parameters Abstract: I will talk about my work in progress with Teruhisa Koshikawa defining a category of cuspidal sheaves on the moduli space of L-parameters for a p-adic group. Such a category is motivated by the categorical Langlands conjecture of Fargues and Scholze. I will explain the structure […] |
2 events,
-
Title: Splitting a manifold with (spectral) Ricci lower boundsAbstract: In this talk, I will discuss the geometry of smooth complete manifolds where the first eigenvalue of the operator −γΔ + Ric, for γ > 0, is bounded from below. Here, Ric denotes the (pointwise) lowest eigenvalue of the Ricci tensor. This condition is weaker than […] |
0 events,
|