Alexander Petrov: On de Rham Cohomology in Positive Characteristic
Explores de Rham cohomology in positive characteristic, discussing Hodge decomposition analogs, isomorphism failures, and structures on de Rham complexes over F_p, including Sen operators and Frobenius pullback decompositions.
Yuri Tschinkel, Courant Institute - New Invariants in Equivariant Birational Geometry
Explore new obstructions to equivariant birationality in higher-dimensional algebraic varieties, introduced by Tschinkel and Kresch, advancing the field of equivariant birational geometry.
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.
Duality and Stratification in Commutative Algebra - Lecture 4
Explore duality and stratification in commutative algebra, focusing on derived categories, Grothendieck duality, and connections to algebraic topology and representation theory.
The P^1-Motivic Cycle Map
Explore P^1-motivic homotopy theory and its applications to various cohomology theories. Learn about the construction of the P^1-motivic cycle map and its implications for prismatic Poincar é duality.
Stratification and Duality for Representations of Finite Groups - Lecture 4
Explore finite group representations through stratification and duality concepts. Delve into advanced algebraic techniques and their applications in modular representation theory.
Duality and Stratification in Commutative Algebra - Lecture 3
Explore duality and stratification in commutative algebra, focusing on derived categories, Grothendieck duality, and connections to algebraic topology and representation theory.
Residues and Trace Maps in Grothendieck Duality - Lecture 4
Explore residues and trace maps in Grothendieck Duality, advancing understanding of algebraic geometry and commutative algebra concepts within the broader context of dualities in topology and algebra.
The Stringy Spectrum of Orbifolds
Explore the stringy spectrum as an additive invariant of orbifolds, its properties, and its connection to isolated hypersurface singularities through examples and explanations.
João Lourenço- Towards Bezrukavnikov via P-adic Central Sheaves
Explore advancements in algebraic geometry, focusing on Bezrukavnikov's equivalence and p-adic central sheaves in the Witt vector affine flag variety, building on Kazhdan-Lusztig's work.
Pointwise Ergodic Theorems for Non-Conventional Polynomial Averages by Benjamin Krause
Explore advanced ergodic theory with a focus on non-conventional polynomial averages, delving into pointwise convergence theorems and their applications in harmonic analysis.
Discussion of Montgomery's Large Value Problem by Larry Guth
Exploration of Montgomery's Large Value Problem, delving into advanced harmonic analysis concepts and recent developments in the field of mathematics.
Studying the Birational Geometry of Complex Fano Hypersurfaces via Characteristic
Explore complex Fano hypersurfaces' birational geometry through characteristic analysis, delving into advanced mathematical concepts and their applications in algebraic geometry.
The Calabi Problem for Fano 3-Folds
Explore the Calabi problem for Fano 3-folds with Carolina Araujo from IMPA. Delve into advanced mathematical concepts and recent developments in this specialized field of algebraic geometry.
Full Exceptional Collections on Linear GIT Quotients
Explore exceptional collections on linear GIT quotients, delving into advanced mathematical concepts with insights from Kimoi Kemboi's research at the Fields Medal Symposium.
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.
Hyperkähler Varieties from CY2 Categories
Explore hyperkähler varieties derived from CY2 categories, delving into advanced mathematical concepts and their applications in algebraic geometry.
Birational Complexity
Explore birational complexity in algebraic geometry, examining key concepts and recent developments in this advanced mathematical field.
The Singularities of the Minimal Model Program in Positive Characteristic
Explore singularities in positive characteristic Minimal Model Program, examining their unique properties and implications for algebraic geometry research.
Wall Crossing for Moduli of Stable Pairs
Explore wall crossing phenomena in moduli spaces of stable pairs, examining their geometric and algebraic properties and implications for birational geometry.
On K-Moduli Spaces of Fano 3-Folds
Explore K-moduli spaces of Fano 3-folds with Anne-Sophie Kaloghiros, delving into advanced algebraic geometry concepts and their applications in modern mathematics.