Some Reflections on the Work of Udi Hrushovski
Explore David Marker's reflections on Udi Hrushovski's contributions to geometric stability theory, strongly minimal expansions, and differentially closed fields in model theory.
Real Invariants in Arithmetic Geometry and Theta Series
Explore arithmetic geometry, theta series, and real invariants in this advanced mathematical lecture, focusing on Euclidean lattices, algebraic geometry, and chromological invariants.
On the Algebraicity of the Hodge Locus
Explore algebraic geometry and number theory with Bruno Klingler as he delves into the algebraicity of the Hodge locus, covering topics from universal families to arithmetic applications.
Symmetry, Almost
Explore the beauty of mathematical symmetry and its imperfections, focusing on modular forms and their variants. Discover how altering symmetries can reveal new insights and unexpected beauty.
Non-Vanishing of Poincare Series
Explore the non-vanishing of Poincaré series in number theory, examining proofs, relationships between functions, and kernel functions in this advanced mathematical seminar.
P-adic Etale Tate Twists and Syntomic Cohomology
Explore p-adic étale Tate twists and syntomic cohomology, delving into quasisyntomic structures, prismatic chromology, and the Italian Comparison Theorem in advanced algebraic geometry.
Applications of Topological Cyclic Homology in Algebraic K-Theory
Explore topological cyclic homology's applications in algebraic K-theory, covering key developments, impacts on number theory, and recent advancements in the field.
Some Differential Operators on the Modular Curves with Infinite Level at P and Applications
Explore differential operators on modular curves with infinite level at p, their applications, and related concepts in algebraic geometry and number theory.
From Representations of P-Adic Groups to Congruences of Automorphic Forms
Explore connections between p-adic group representations and automorphic form congruences, bridging abstract algebra and number theory in this advanced mathematical lecture.
Effective Arithmetic Geometry
Explore advanced concepts in arithmetic geometry, focusing on effective methods and their applications in number theory and algebraic geometry.
Complex Dynamics and Arithmetic Geometry by Laura DeMarco
Exploring connections between dynamical systems and arithmetic geometry, focusing on periodic points, torsion points, and algebraic curves in genus 2. Insights from polynomial dynamics and Julia sets illustrate key concepts.
Two Mathematicians, Their Work and Career Experiences - Radhika Ganapathy and Purvi Gupta
Explore cyclotomic fields in number theory and convexity in complex analysis through lectures by two accomplished mathematicians, offering insights into their research and career experiences.
Siegel Modular Forms - Classical and Adelic Aspects by Ameya Pitale
Explore Siegel modular forms from classical and modern perspectives, including functions on Siegel upper half spaces and automorphic representations of the symplectic group.
An Introduction to Spectral Data for Higgs Bundles
Explore spectral data for Higgs bundles, a key concept in algebraic geometry and mathematical physics, with insights on integrable systems and moduli spaces.
A Construction of Apéry Constants from Landau Ginzberg Models
Explores construction of Apéry constants from Landau-Ginzberg models, linking quantum differential equations of Fano threefolds to mirror symmetry and geometric higher normal functions.
Khajuraho's Magic Square and Hypercube Symmetries - General Seminar
Explore the symmetries of Khajuraho's Magic Square, its connection to hypercube movements, and broader implications for magic structures in this intriguing mathematical lecture.
Quivers, Curve Counting, and Fermionic Sums in Topology
Explore connections between quantum groups, vertex algebras, and quiver representations in topology. Discover how fermionic forms link these areas, shedding new light on enumerative geometry and curve counting.
Hecke Actions on Loops and Periods of Iterated Shimura Integrals
Exploration of Hecke actions on loops and periods of iterated Shimura integrals, focusing on SL_2(Z) and modular curves, with insights into mixed modular motives and Galois action.
Extensions of Hodge Structure and Completions of Fundamental Groups
Explore extensions of mixed Hodge structures, unipotent and relative completions of fundamental groups, and their geometric interpretations in L-functions and motives theory.
Higher Chow Cycles Arising from Some Laurent Polynomials
Exploration of higher Chow cycles from Laurent polynomials, focusing on Apéry constants in Fano threefolds and cubic fourfolds with planes, connecting to mirror symmetry and rationality problems.
Donaldson-Thomas and Gromov-Witten Theories - Part 10
Explore moduli spaces of algebraic curves and coherent sheaves, their invariants, and connections to geometry, topology, and string theory. Includes computations of Gromov-Witten and Donaldson-Thomas invariants.