Johns Hopkins UniversityEST. 1876
America’s First Research University
|
Sunday
|
Monday
|
Tuesday
|
Wednesday
|
Thursday
|
Friday
|
Saturday
|
|---|---|---|---|---|---|---|
|
0 events,
|
1 event,
-
Title: Extremal Domains for the First Eigenvalue of the Laplacian. Abstract: The Faber-Krahn inequality asserts that the round balls uniquely minimize the first eigenvalue of the Laplacian among domains in R^n with fixed volume. In 1970, Serrin proved more generally that balls are the only critical points for the functional assigning a domain in R^n to […] |
2 events,
-
Title: A weak transcendental base-point-freeness result on compact Kähler manifoldsAbstract: We prove a weaker version of the transcendental base-point-freeness conjecture using techniques from the relative minimal model program (MMP). As an application, we establish a lower bound for finite-time singularities of the Kähler–Ricci flow.
-
Title: Skein algebras of genus zero surfaces and quantized K-theoretic Coulomb branchesAbstract: The Kauffman bracket skein algebra of an oriented surface S is a quantization of the SL(2) character variety of S, and is generated by isotopy classes of framed links living in S times an interval, modulo skein relations. The relative skein algebra quantizes the […] |
1 event,
-
Title: Symplectic Weyl laws and groups of area-preserving homeomorphisms. Abstract: The algebraic structure of the group of volume-preserving homeomorphisms of a manifold of dimension at least three has been well-understood since the work of Fathi from the 70s. However, the surface case has long remained a mystery. I will discuss joint work clearing up parts of […] |
0 events,
|
||
|
0 events,
|
2 events,
-
Title: Non-uniqueness of locally-minimizing clustersAbstract: Optimal bubble cluster problems concern the study of partitions of $mathbb{R}^n$ into a finite collection of chambers, some with finite volume and some with infinite volume. One looks for local minimizers of interfacial area subject to volume constraints on the finite-volume chambers. The case of one infinite-volume chamber is the classical multiple […]
-
Title: Annular web algebrasAbstract: We define equivariant SL(2) and SL(3) web algebras in the annulus using annular foam TQFTs introduced in earlier work with Khovanov. To a diagram of a tangle in the thickened annulus we assign a complex of bimodules over these algebras whose chain homotopy type is an invariant of the tangle. I […] |
1 event,
-
Title: A YTD correspondence for constant scalar curvature metricsAbstract: Given a compact Kähler manifold, to better understand Mabuchi's K energy we introduce a family of K^beta energies, whose favorable properties are similar to those of the Ding energy from the Fano case. The construction uses Berman's transcendental quantization, and we show that the slope of the K^beta […] |
2 events,
-
Title: In-Context Learning in Scientific ComputingAbstract: Transformer-based foundation models, pre-trained on large datasets spanning a wide range of tasks, have shown remarkable adaptability to diverse downstream applications—even in low-data regimes. A particularly striking capability is in-context learning (ICL): when given a prompt containing a few examples from a new task alongside a query, these models can […]
-
Title: EDGE STATES IN PERIODIC AND APERIODIC STRUCTURES Abstract: Edge states are solutions of energy conserving and dispersive wave equations which are bounded and oscillatory (plane-wave like) in the direction of a line defect, and localized transverse to it. We discuss edge states in systems with honeycomb symmetry, which arise in two dimensional quantum materials such as […] |
3 events,
-
Title: CMC surfaces with bounded genusAbstract: We will discuss the following problem: given a closed $3$-manifold $M$ and $Hgeq 0$, is there a surface with constant mean curvature $H$ in $M$ whose genus $g$ is controlled? We will show that for almost every $H$, one can construct a branched immersion with these properties, with $g$ […] |
1 event, |
0 events,
|
|
0 events,
|
0 events,
|
0 events,
|
0 events,
|
1 event, |
0 events,
|
0 events,
|
|
0 events,
|
0 events,
|
2 events,
-
Title: Non-unirationality of surfaces and moduli spaces in positive characteristicAbstract: A variety is "unirational" if it admits a dominant rational map from projective space. For moduli spaces this amounts to an explicit “recipe” for writing down a general member of the universal family. In characteristic zero, tensor forms obstruct unirationality -- famously employed by Harris--Mumford (1982) to prove […]
-
Title: A y-ification of Khovanov homologyAbstract: In this talk, I will explain the main results of my recent paper. Motivated by the y-ification of HOMFLY--PT homology by Gorsky and Hogancamp, and the sl_2-action constructed by Gorsky, Hogancamp and Mellit, we construct y-ifications of Khovanov homology and its equivariant versions within Bar-Natan's framework for tangles, and […] |
1 event,
-
Title: Tropicalizations of locally symmetric varieties Abstract: We relate the top-weight rational cohomology of a locally symmetric variety to the cohomology of arithmetic groups associated to its rational boundary components. This relation is given in terms of a fundamental spectral sequence, whose applications to the cohomology of Siegel modular varieties and unitary modular varieties will […] |
2 events,
-
Title: Possible orders of harmonic maps into buildingsAbstract: The goal of this talk is to investigate what possible orders of vanishing can occur for a harmonic map from a Riemann surface into a Euclidean building. Euclidean buildings arise in a number of contexts in mathematics---for example, as a natural space for non-Archimedean groups to act […] |
0 events,
|
|
|
0 events,
|
1 event,Title: Heat flow of harmonic maps into CAT(0)-metric spacesAbstract: In this talk, I will describe an elliptic regularization approach, first proposed by De Giorgi, to study the heat flow of harmonic maps into CAT(0)-spaces, a generalization of manifolds with non-positive curvatures in the sense of Alexandrov. This leads to the existence of a unique suitable […] |
2 events,
-
Title: The Briançon-Skoda theorem revisitedAbstract: The Briançon-Skoda theorem is a comparison relating the integral closure of powers of an ideal with its ordinary power. The theorem was originally proved via analytic methods for coordinate rings of smooth varieties over the complex numbers. The full algebraic version for all regular local rings was obtained by Lipman-Sathaye. Since then, there have been […]
-
Title: Symmetries of link homologyAbstract: We show that link homology over a field of characteristic p carries an action of a truncated polynomial algebra. This action gives rise to a categorification of the Jones polynomial at a prime root of unity. This is joint work with You Qi, Louis-Hadrien Robert, and Emmanuel Wagner. |
1 event,
-
Title: Linear stability of Kerr spacetimes Abstract: I will explain a result obtained in collaboration with P. Hintz and A. Vasy on the linear stability of rotating Kerr black holes as solutions of the Einstein vacuum equations: linearized perturbations of a Kerr metric decay at an inverse polynomial rate to a linearized Kerr metric plus a pure […] |
2 events,
-
Title: Positive Curvature Conditions and Contractible Manifolds Abstract: A classical theme in Riemannian geometry is that positive curvature imposes topological constraints on manifolds. In this talk, we investigate curvature conditions that distinguish Euclidean space among open contractible manifolds and the disk among compact contractible manifolds with boundary. We will show that an open manifold that […] |
0 events,
|