9.12.2017 И.А. Тайманов - Теория пересечений и кольца когомологий
Изучение теории пересечений и колец когомологий в топологии. Лекция охватывает фундаментальные концепции и их применение в современных исследованиях.
Heisenberg Homology of Surface Configurations
Explore Heisenberg group representations on surface configurations, examining homologies, Mapping Class Group actions, and quantum connections in mathematical research.
Multimatroids and Rational Curves with Cyclic Action
Explore the intersection of multimatroids and rational curves, discovering how these mathematical structures connect through combinatorial formulas and independence polytopal complexes in topological graph theory.
Towards Generalized Schubert Varieties and Anabelian Matroids
Delve into advanced geometric theories connecting Huh's matroid discoveries with Schubert varieties, exploring applications in statistics and combinatorics through mixed Eulerian numbers.
Unitary Representations of Reductive Lie Groups
Explore unitary representations of reductive Lie groups using Hodge theory, including progress on a conjecture. Joint work with Kari Vilonen presented by Harvard's Wilfried Schmid.
Homological Mirror Symmetry - Nikita Nekrasov
Explore homological mirror symmetry and integrable systems through Lax operators, intersection theory, and gauge theory. Delve into Garnier models, Hitchin systems, and quiver gauge theories.
Hodge Theory, Between Algebraicity and Transcendence
Explore recent advances in Hodge theory, comparing algebraic structures and bounding transcendence using o-minimal geometry. Gain insights into complex algebraic varieties and their applications.
Mikhail Katz - Collapsing Surfaces
Exploring surface collapse in Riemannian geometry, focusing on critical points, intersection theory, and Toponogov comparison. Analyzes fiber homotopy and discrete integration against Euler characteristic.
Virtual Reductions and Intersection Theory on Moduli Space of Sheaves on Calabi-Yau 4 Folds
Explore virtual reductions of fundamental classes on moduli spaces of sheaves in Calabi-Yau 4-folds, examining applications to Donaldson-Thomas invariants and connections to threefold theories.
Topological Recursion for Hurwitz Theory and Intersection Theory of Moduli Spaces of Curves
Explore topological recursion in Hurwitz theory and its connections to moduli spaces of curves. Discover ELSV-type formulae and their impact on understanding ramifications and cohomological field theories.
Intermediate Jacobians of Gushel-Mukai Varieties
Explore intermediate Jacobians of Gushel--Mukai varieties, focusing on threefolds and fivefolds. Discover their connection to Albanese varieties of double EPW surfaces and related birational and categorical aspects.
Algebraic Geometry - Lecture 17
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Algebraic Geometry - Lecture 18
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Algebraic Geometry - Lecture 14
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Algebraic Geometry - Lecture 12
Explore advanced concepts in algebraic geometry, focusing on complex mathematical structures and their applications in modern mathematics and theoretical physics.
Tautological Rings of Moduli Spaces of Curves - Lecture 3
Explore advanced concepts in algebraic geometry, focusing on tautological rings and their relation to moduli spaces of curves in this in-depth mathematical lecture.
Computation of the Vertical Vafa-Witten Invariants II
Explore advanced algebraic geometry concepts, focusing on vertical Vafa-Witten invariants computation using localization on Hilbert schemes of points for toric surfaces.
Residual Intersections
Explore residual intersections in mathematics with expert M. CHARDIN, delving into advanced concepts and their applications in algebraic geometry.
Schubert Problems of Types A and C in Macaulay2
Explore Schubert problems in types A and C using Macaulay2, focusing on computational approaches in enumerative geometry and algebraic combinatorics.
Commutative Algebra and Algebraic Geometry: Modular Space of Curves - Lecture 15
Explore modular spaces of curves, intersection theory, and dual graphs in algebraic geometry. Delve into pseudostable curves and Matthews theorem with expert insights.
Moduli Space of Curves and Its Intersection Theory - Lecture 2
Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.