Mode: In-person Title: Derived Superequivalences for Spin Symmetric Groups and Odd sl2-categorifications Abstract: Since Chuang and Rouquier's pioneering work showing that categorical sl(2)-actions give rise to derived equivalences, the construction of derived equivalences has been one of the more prominent … Read more
Speaker: Dr. Hannah Schwartz Time: 4:00p-5:00p Mode: In Person Location: Phillips 332 Title: A trip to the movies, starring: spheres in 4-manifolds Abstract: How, and why, should surfaces in 4-manifolds be visualized? We will begin by illustrating movies of knotted surfaces in four dimensions, … Read more
Speaker: Dr. Philip Tosteson Time: 4:00p-5:00p Mode: In Person Location: Phillips 332 Title: Symmetry and stability in configuration and moduli spaces Abstract: In algebraic topology, a common way to study a space X is by constructing vector spaces that detect topological information about it. … Read more
Mode: In-Person Title: Integrating symplectic stacks Abstract: Shifted symplectic stacks, introduced by Pantev, Toën, Vaquie, and Vezzosi, are a natural generalization of symplectic manifolds in derived algebraic geometry. The word `shifted’ here refers to cohomological shift, which can naturally occur … Read more
Mode: In-person Title: Research Showcase - Carolina Center for Interdisciplinary Applied Mathematics Abstract: Ligtning-talk style research presentations with brief Q&A by faculty and post docs in the Carolina Center for Interdisciplinary Applied Mathematics. Come connect with our CCIAM community and … Read more
Mode: TBA Title: TBA Abstract: TBA
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
