Homological Mirror Symmetry for Not-So-Simple Singularities - Yanki Lekili
Explore homological mirror symmetry for invertible polynomials' Milnor fibers, focusing on explicit conjectures and proofs for simple and not-so-simple singularities.
Moduli Spaces of Flat Connections and Free Lie Algebras
Explore connections between moduli spaces of flat connections and free Lie algebras, delving into advanced mathematical concepts and their interrelationships.
Explicit Mod-Ell Categorical Local Langlands Correspondence for Depth-Zero Supercuspidal
Explore the explicit mod-ℓ categorical local Langlands correspondence for depth-zero supercuspidal representations of GL_2, focusing on moduli spaces and smooth representations.
Cohomology of Hurwitz Spaces
Explore the cohomology of Hurwitz spaces, focusing on branched covers of the affine line and their connections to braided Hopf algebras and a new family of braided operads.
Moduli of Boundary Polarized Log Calabi Yau Pairs
Explore boundary polarized log Calabi-Yau pairs and their moduli spaces in this advanced mathematical lecture by Kristin DeVleming from UMass Amherst.
Sections of Fano Fibrations Over Curves
Explores Manin's conjecture on rational points in Fano varieties, focusing on exceptional sets and their impact on moduli spaces of sections in Fano fibrations, particularly del Pezzo fibrations.
Mohammed Abouzaid: Bordism and Floer Theory
Explore the intersection of Morse theory and infinite-dimensional spaces in topology. Learn about recent advances in Floer theory and its applications to generalized homology and derived orbifold bordism.
A Local Torelli Theorem for Log Symplectic Manifolds
Explore log symplectic manifolds, their moduli space, and local Torelli theorem. Discover new components in Pn's moduli space of log symplectic structures.
Rational Points on Modular Curves - Lecture 2
Explore advanced techniques for studying rational points on modular curves, focusing on geometry, Q-rational points, Chabauty methods, and computational aspects in arithmetic geometry.
Generic Prym-Torelli Theorem for Cyclic Coverings of Genus 2 Curves
Explore cyclic unramified coverings of genus 2 curves and their associated Prym varieties, focusing on the injectivity of the Prym map for Sophie Germain prime degree coverings.
Moduli of Bundles in Low Genus, Coble Hypersurfaces and Degeneracy Loci
Explore the geometry of moduli spaces for semistable bundles, focusing on Coble hypersurfaces and their connections to Abelian varieties, K3 surfaces, and cubic fourfolds.
Hodge Structures in 8-Dimensional Homotopy Hopf Manifolds
Explore Hodge structures on 8-dimensional homotopy Hopf manifolds, examining connections between these structures and K3 surfaces, with implications for Homological Mirror Symmetry.
The KSBA Moduli Space of Log Calabi-Yau Surfaces - Part 1
Explore the KSBA moduli space of log Calabi-Yau surfaces, delving into its properties, conjectures, and recent developments in algebraic geometry and mirror symmetry.
Dispatches from the Ends of the Stability Manifold - Part I
Explore noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discover connections to moduli spaces and implications for semistable object classification.
Dispatches from the Ends of the Stability Manifold - Part II
Explores noncommutative minimal model program, stability manifolds, and multi-scale decompositions in triangulated categories. Discusses augmented stability conditions and their potential implications for moduli spaces.
Eigenvarieties and Arithmetic - Connection to L-Functions
Explore eigenvarieties, p-adic automorphic forms, and their connection to L-functions. Discover the local geometry of eigenvarieties and its significance in arithmetic.
Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 1
Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken from the University of Toronto.
Introduction to Modular Forms, Elliptic Curves, and Modular Curves - Lecture 3
Explores advanced concepts in arithmetic geometry, focusing on modular forms, elliptic curves, and modular curves. Builds on previous lectures to deepen understanding of these fundamental objects.
Parabolic Higgs Bundles in Geometric Langlands Program
Explore parabolic Higgs bundles in geometric Langlands program, focusing on rank 2 local systems on genus 2 curves and associated rank 8 local systems on moduli stacks.
Asymptotics in Hitchin's Moduli Space
Explores asymptotic behavior in Hitchin's moduli space, comparing different notions of ideal points at infinity and examining the extension of the nonabelian Hodge correspondence between partial compactifications.
Symplectic Geometry of Teichmueller Spaces for Surfaces with Boundary - Lecture 2
Explore symplectic geometry of Teichmueller spaces for surfaces with boundary in this advanced mathematics lecture by Eckhard Meinrenken, part of a workshop on operator algebras and non-commutative geometry.