Bhargav Bhatt: Algebraic Geometry in Mixed Characteristic
Explore recent developments in algebraic geometry over p-adically complete commutative rings, covering prismatic cohomology, semistable reduction, and Kodaira vanishing in mixed characteristic.
Thomas Nikolaus: Frobenius Homomorphisms in Higher Algebra
Explore algebraic K theory, higher algebra, and Frobenius homomorphisms in topology and K theory with insights from Thomas Nikolaus.
The Transfer in Algebraic K-Theory and THH
Explore algebraic K-theory transfers, their applications in A-theory, and connections to THH. Gain insights into fundamental questions and trace methods in this advanced mathematics lecture.
The Slices of Hermitian K-Theory
Explore Hermitian K-theory's slices, their construction, and applications in algebraic geometry. Gain insights into Milnor's conjecture on quadratic forms through this advanced mathematical lecture.
From Knots to Number Theory II
Explore connections between quantum knot invariants and number theory, covering topics like hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Applications of Topological Cyclic Homology in Algebraic K-Theory
Explore topological cyclic homology's applications in algebraic K-theory, covering key developments, impacts on number theory, and recent advancements in the field.
Trace Methods in Algebraic K-Theory
Explore trace methods in algebraic K-theory, focusing on cyclotomic trace and topological cyclic homology. Learn about recent advances and applications in chromatic homotopy theory.
From Knots to Number Theory I
Explore connections between quantum knot invariants and number theory, covering hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
The Close Relation Between K Theory and TC Theory
Explores the tight relationship between algebraic K-theory and topological cyclic homology for p-adically complete rings, discussing recent results and future challenges in non-commutative cases.
The 2-Completion of L-Theory for C-Algebras
Explores the relationship between algebraic K-theory and L-theory for C*-algebras, focusing on C2-actions, Tate constructions, and 2-completions in topological K-theory.
Introduction to the Farrell Jones Conjecture - Part 1
Explore the Farrell Jones Conjecture's foundations and implications in algebraic topology, presented by renowned mathematician Wolfgang Lück in this comprehensive lecture.
Automorphisms of Manifolds and the Farrell Jones Conjectures
Explores recent extensions of the Farrell-Jones Conjecture to Waldhausen's algebraic K-theory of spaces, examining implications for high-dimensional, closed, aspherical manifolds and their automorphism groups.
On Excision in Algebraic K-Theory
Explore advanced algebraic K-theory concepts, focusing on Suslin's excision theorem for Tor-unital rings and its extension to connective ring spectra and localizing invariants.
Algebraic K-Theory and Descent for Blow-Ups - Lecture 1
Explore algebraic K-theory and descent for blow-ups, focusing on pro-descent for infinitesimal thickenings and its implications for Weibel's conjecture on negative K-groups.
Invariants of Manifolds and Relations to Cobordism
Explore manifold invariants, cut-and-paste equivalence, and cobordism relations. Discover recent advancements in categorifying these concepts and their connections to algebraic K-theory.
Ample Groupoids, Topological Full Groups, Algebraic K-Theory Spectra and Infinite Loop Spaces
Explore ample groupoids, topological full groups, and their connections to algebraic K-theory spectra and infinite loop spaces in this advanced mathematics seminar.
Representation Spheres and Chromatic Picard Groups
Explore representation spheres and chromatic Picard groups in advanced mathematics. Gain insights from Vesna Stojanoska's conference talk at CIRM's thematic meeting on chromatic homotopy.
Twisted K-theory in Motivic Homotopy Theory
Explore algebraic K-theory of vector bundles twisted by Brauer class, its role in motivic homotopy theory, and a new approach to the motivic spectral sequence for twisted K-theory.
Efimov K-theory and Its Applications to Complex Geometry - Lecture 2
Explore Efimov's extended algebraic K-theory, its broader categorical context, and applications to complex geometry in this advanced mathematics lecture.
Localizing Invariants and Algebraic K-theory - Lecture 3
Explore localizing invariants in algebraic K-theory, including Thomason's insights, descent properties, and recent developments in the field.
Localizing Invariants and Algebraic K-theory - Part 1
Explore localizing invariants in algebraic K-theory, from classical foundations to recent developments, with emphasis on descent properties and applications.