Title: On isolated singularities and generic regularity of min-max CMC hypersurfacesAbstract: Smooth constant mean curvature (CMC) hypersurfaces serve as effective tools to study the geometry and topology of Riemannian manifolds. […]
Title: Nonabelian Fourier kernels on SL₂ and GL₂ Abstract: I will present my collaborative work with Ngô on explicit formulas for the nonabelian Fourier kernels on SL₂ and GL₂, as conjectured […]
Title: Twisted Intermediate Jacobian Fibrations.Abstract:In this talk, I will report on a joint work in progress with D. Mattei and E. Shinder, where we construct, using Hodge modules, a group scheme […]
Title: Rectification of Coalgebras Abstract: There are two ways of talking about homotopy coherent algebras. One is to use model theoretic ideas: given a nice model category (C, W), one […]
Title: Transfer operators for the relative trace formula. Abstract: Transfer operators are operators between spaces of test measures on different groups, whose duals are supposed to realize the transfer of […]
Tittle: Partial regularity for Lipschitz solutions to the minimal surface system Abstract: The minimal surface system is the Euler-Lagrange system for the area functional of a high codimension graph and reduces […]
Title: Formalizing ∞-Category Theory in Lean
Title: The local theta correspondence and functoriality Abstract: In a letter to Howe, Langlands conjectured that the local theta correspondence is an instance of Langlands functoriality, e.g., it should preserve […]
Tikhonov regularization is a widely used technique in solving inverse problems that can enforce prior properties on the desired solution. In this talk, I will present a Krylov subspace based […]
Title: Towards A-theory of orbifoldsAbstract: Waldhausen's A-theory of spaces — an extension of Quillen's higher algebraic K-theory of rings — is central to the study of moduli spaces of manifolds. In this talk, we will […]
Title: An Euler system of Heegner type Abstract: In this talk, I will present the result of Cornut in his paper "An Euler system of Heegner type" where he constructed […]