The Geometry and Arithmetic of Banana Nano-Manifolds
Explore the geometry and arithmetic of banana nano-manifolds, focusing on new rigid Calabi-Yau threefolds and their Donaldson-Thomas partition functions, Gromov-Witten potentials, and modular properties.
Empty Real Plane Sextic Curves
Explore K3-surfaces, complex sextic curves, and real plane sextics through arithmetic and homological types. Gain insights into equivariant equisingular deformation classification.
Motives and Automorphic Representations
Explore motives and automorphic representations in advanced mathematics with James Arthur's insightful conference talk at CIRM.
Hasse Principle for Simply Connected Groups - Kirk Lecture
Explore the Hasse principle for simply connected groups, its significance in number fields, and recent progress in function fields of curves over p-adic fields.
Moduli Spaces of Points on the Projective Line and Other Varieties with Many Symmetries
Explore equivariant birational geometry through recent results and constructions presented by Yuri Tschinkel from SCGP & NYU.
Arithmetic Quantum Unique Ergodicity for Hyperbolic Manifolds
Explore quantum unique ergodicity in hyperbolic manifolds, focusing on arithmetic aspects and their implications in mathematical physics and number theory.
Non Abelian Hodge Theory in Positive Characteristic
Explore non-abelian Hodge theory in positive characteristic with Siqing Zhang, delving into advanced mathematical concepts and their applications.
Smooth Plane Models for Modular Curves of Shimura Type
Explore smooth plane models for modular curves of Shimura type, delving into advanced mathematical concepts and their applications in number theory.
Graded Lie Algebras and Families of Algebraic Curves
Explore graded Lie algebras and their connection to algebraic curve families. Gain insights into natural questions, philosophy, and Thorne's construction in this mathematical symposium talk.
Finite Flat Group Schemes over Z
Explore finite flat group schemes over Z with René Schoof in this advanced arithmetic geometry lecture from the CIRM Symposium.
Computing Euler Factors of Curves
Explore computational methods for determining Euler factors of curves in arithmetic geometry, focusing on advanced mathematical techniques and applications.
Computing Ceresa Classes of Curves
Explore computational methods for Ceresa classes of curves in algebraic geometry, focusing on arithmetic and geometric aspects.
Probabilistic Approaches to Rational Points on Algebraic Surfaces
Explore probabilistic methods for studying rational points on algebraic surfaces, delving into advanced mathematical concepts and recent research developments.
An Invitation to Globally Valued Fields
Explore globally valued fields in mathematics through an in-depth lecture by Ehud Hrushovski, delving into advanced concepts and their applications.
Beyond the Fontaine-Wintenberger Theorem
Explore advanced mathematical concepts beyond the Fontaine-Wintenberger theorem in this in-depth conference talk by Konstantinos Kartas.
Determinants of Cohomology for Number Fields
Explore determinants of cohomology in number fields, delving into advanced mathematical concepts and their applications in algebraic number theory.
Introduction to Prismatic Cohomology - Lecture 4
Explore prismatic cohomology, focusing on prismatization and the prismatic logarithm in advanced algebraic geometry and number theory.
Introduction to Prismatic Cohomology - Lecture 3
Explore prismatic cohomology, covering general results, prismatization, and the prismatic logarithm in this advanced mathematics lecture by Johannes Anschütz.
Point-Counting and the Zilber-Pink Conjecture - Lecture 4
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
Point-Counting and the Zilber-Pink Conjecture - Lecture 3
Explore the Zilber-Pink conjecture, its relation to classical conjectures, and point-counting strategies for proving cases, focusing on curves in modular curve powers.
The Non-Abelian p-Curvature Conjecture
Explore a generalized p-curvature conjecture for non-linear ODEs, its implications for algebraic geometry, and proof techniques inspired by Katz and Esnault-Groechenig's work.