Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
Higher Lie Theory in Positive Characteristic
Explore advanced concepts in Higher Lie theory for positive characteristic fields, delving into algebraic and geometric perspectives of this mathematical domain.
Higher Algebra and Arithmetic - Rothschild Lecture
Explore higher algebra's impact on arithmetic, examining how counting processes influence number theory and cohomology, with applications in geometry and zeta functions.
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.
Counting Curves: Which, How and Why - Kirk Public Lecture
Explore enumerative geometry's evolution, from classical problems to modern developments influenced by string theory, highlighting connections to various mathematical fields.
Moduli Problems and Abelianization in Algebraic and Differential Geometry
Explore moduli spaces in algebraic and differential geometry, focusing on abelianization processes for parametrizing structures with internal symmetries. Gain insights into classical moduli problems.
Geometry of Shape Change - Lecture 2
Explore advanced concepts in shape change geometry, focusing on mathematical principles and applications in physics and materials science.
Geometry of Shape Change I - Lecture 1
Explore the geometry of shape change through an in-depth lecture by E. Matsumoto, covering fundamental concepts and advanced theories in this field of physics.
Algebraic Geometry and Pythagorean Triples
Explore algebraic geometry through Pythagorean triples, bridging classical mathematics with modern perspectives for a broad audience.
Quillen Metrics and Applications - Part 3: Gauged Maps, Vortices and Their Moduli
Explore gauged maps, vortices, and moduli spaces through historical context, applications, and analytical tools in mathematical physics.
Quillen Metrics and Applications - Part 1
Explorez les métriques de Quillen et leurs applications dans cette conférence approfondie sur les cartes jaugées, les vortex et leurs moduli.
A Support Theorem for Nested Hilbert Schemes of Planar Curves
Explore nested Hilbert schemes of planar curves and their support theorem, delving into advanced mathematical concepts in algebraic geometry.
Top Weight Cohomology of M_{g,n} and the Handlebody Group
Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.
Gravity Properad, Moduli Spaces M_g,n, and String Topology
Explore gravity properad, moduli spaces M_g,n, and string topology with S. Merkulov, delving into algebraic and topological concepts in advanced mathematics.
Spectral Gap of the Laplacian for Random Hyperbolic Surfaces
Explore spectral gap of Laplacian for random hyperbolic surfaces in large genus limit. Delve into Weil-Petersson measure, Mirzakhani's work, and trace method applications.
Factorization in Mathematical Research
Explore factorization in mathematics with Reimundo Heluani's lecture, covering locality, runspace, representation theory, and algebraic geometry at IMPA's 70th anniversary conference.
Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Sajad Salami at the 15th ALGA conference. Gain insights into cutting-edge research and developments in these mathematical fields.
Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry with expert Dapeng Mu at the 15th ALGA conference. Gain insights into cutting-edge research and developments in these mathematical fields.
Commutative Algebra and Algebraic Geometry - 15th ALGA
Explore advanced topics in Commutative Algebra and Algebraic Geometry at the 15th ALGA conference, featuring expert speakers and fostering collaboration in related mathematical fields.
15th ALGA - Commutative Algebra and Algebraic Geometry
Explore advanced topics in Commutative Algebra and Algebraic Geometry at the 15th ALGA conference. Gain insights from expert speakers and engage with cutting-edge research in mathematics.
Complex Dynamics in the Tropics - Critical Locus for Complex Henon Maps
Explore complex dynamics in the tropics, focusing on critical locus for complex Henon maps. Gain insights from T. Firsova's presentation at IMPA's international congress celebrating Carsten Lunde Petersen.