Mode: In-Person Title: Solution of qKZB equations from the geometry of Nakajima quiver varieties Abstract: The quantum Knizhnik–Zamolodchikov (qKZ) equations are an important family of difference equations, deeply related to the representation theory of affine quantum enveloping algebras (trigonometric quantum groups). Over … Read more
Mode: In-Person Title: The MLOP framework: reconstructing a manifold from noisy data in high-dimension Abstract: In this talk, we present the Manifold Locally Optimal Projection (MLOP) method for denoising and reconstructing a low-dimensional manifold in a high-dimensional space. Given a … Read more
Mode: In-Person Title: Lie theory in tensor categories with applications to modular representation theory Abstract: Available Here
Mode: In-Person Title: Analytic Langlands correspondence over C and R Abstract: I will review the analytic component of the geometric Langlands correspondence, developed recently in my joint work with E. Frenkel and D. Kazhdan (based on previous works by other … Read more
Mode: In-Person Title: Insights from biofluidmechanics: A tale of two tails Abstract: I will present recent work on two very different systems at very different scales, both involving fluid flow driven by undulatory motion. The first is a class of … Read more
Mode: In-Person Title: Mathematical and Statistical Analysis of Compressible Data on Compressive Network Abstract: We present an overview of the FRG project on the “Mathematical and Statistical Analysis of Compressible Data on Compressive Networks”. Compressible features of data include the … Read more
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Mode: In-Person Title: Asymptotic simplification for solutions of nonlinear wave equations Abstract: In this lecture I will describe the progress made in the last 14 years, in our understanding of the long-time behavior of large solutions to the energy critical … Read more
Mode: In-Person Title: Wave maps into the sphere Abstract: In this talk we will introduce wave maps, an important geometric flow, and discuss, for the case when the target is the sphere, the asymptotic behavior near the ground state (without … Read more
Mode: In-Person Title: New channels of energy for wave equations, new non-radiative solutions and soliton resolution Abstract: We will discuss the role of non-radiative solutions to nonlinear wave equations, in connection with soliton resolution. Using new channels of energy estimates … Read more
Mode: TBA Title: TBA Abstract: TBA
Mode: In-Person Title: Quantum Schur dualities ABC Abstract: The classical Schur duality admits a q-deformation due to Jimbo, which is a duality between a quantum group and Hecke algebra of type A. A new quantum Schur duality between an i-quantum … Read more
