Heights of Algebraic Cycles and Special Values of L-Series - ICBS 2024
Explore heights of algebraic cycles and their connections to L-series special values, focusing on CM points and Gross-Schoen cycles on elliptic curves.
Finiteness Questions for Étale Coverings with Bounded Wild Ramification at the Boundary
Explore finiteness questions for étale coverings with bounded wild ramification at the boundary in characteristic p>0 algebraic geometry, including recent work and open problems.
Computing Differentials in the Adams Spectral Sequence and the Last Kervaire Invariant Problem
Explore advanced methods for computing differentials in the Adams spectral sequence and uncover recent progress on the Last Kervaire Invariant Problem in dimension 126.
Euler's Constant and Exponential Motives
Explore Euler's constant in exponential motives, examining its role in Q(-1) extensions and E-function differential equations.
Threefold Divisorial Contraction to Curves
Explore threefold divisorial contractions to curves, their classification, and potential higher-dimensional extensions in algebraic geometry.
Intersection Theory on Moduli Space of Super Riemann Surfaces
Explore intersection theory on super Riemann surface moduli spaces, including recursion formulas, polynomiality, and applications to JT gravity.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Symplectic Singularities Arising from Algebras of Symmetric Tensors
Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.
Gromov-Witten Type Theory and Statistical Physics
Explore connections between Gromov-Witten theory and statistical physics, applying concepts from both fields to gain new insights and tackle complex problems in topological string theory.
Points, Lines, and Subdivisions in Polyhedra - ICBS 2024
Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.
Recent Progress on Gamma Conjectures - ICBS 2024
Explore recent advancements in Gamma conjectures, including modifications to Gamma conjecture I and its application over Kähler moduli space.
Hermitian Yang-Mills Connections on Log Terminal Kahler Spaces
Explore Hermitian Yang-Mills theory on mildly singular spaces, focusing on recent results for sheaves and log terminal Kähler spaces.
Representations of Simple Affine Vertex Algebras at Elliptic Levels and Affine Springer Fibres
Explore connections between affine vertex algebras and elliptic affine Springer fibres, delving into representation theory and geometric insights.
Towards a Mod p Langlands Correspondence for GL2
Explore the mod $p$ Langlands correspondence for $\mathrm{GL}_2(K)$, examining conjectures and recent progress in this open area of mathematical research.
Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024
Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.
Diophantine Equations and Discrete Harmonic Analysis - Part 3
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
Diophantine Equations and Discrete Harmonic Analysis - Part 2
Explore advanced concepts in Diophantine equations and discrete harmonic analysis, delving into complex mathematical theories and applications with expert Ákos Magyar.
What is Algebraic Geometry?
Explore the foundations and applications of algebraic geometry with Stanford professor Ravi Vakil in this illuminating lecture.
Hodge Theory for Non-Archimedean Analytic Spaces
Explore Hodge theory for non-Archimedean analytic spaces, extending Deligne's work and generalizing complex analytic constructions. Gain insights into K-analytic spaces and their cohomology groups.
A Formalization of Complete Discrete Valuation Rings and Local Fields
Explore formalization of complete discrete valuation rings and local fields in Lean, covering theory, proofs, and applications to algebraic number theory and geometry.
Why Markman's Theorem Saves the Hodge Conjecture from Kontsevich's Tropical Counterexamples - Part 2
Explore Markman's theorem's role in preserving the Hodge conjecture for Weil type abelian fourfolds against Kontsevich's tropical counterexamples in this advanced mathematics lecture.