A Look at Fourier-Mukai Transforms and GIT in the Smooth and Singular Settings
Explore recent advancements in derived equivalences and birational geometry, focusing on Fourier-Mukai functors and geometric invariant theory quotients in both smooth and singular settings.
A Classical View on Derived Algebraic Geometry
Explore derived algebraic geometry from a classical perspective, gaining insights into this advanced mathematical field and its applications.
Categorification of Donaldson-Thomas Invariants
Explore categorification of Donaldson-Thomas invariants through derived foliations, extending BBDJS construction with a sheaf of 2-periodic dg-categories modeled on matrix factorizations.
Derived Deformation Theory - Lecture 4
Explore advanced concepts in derived deformation theory through Barbara Fantechi's fourth lecture in this mathematical series.
Derived Deformation Theory - Lecture 3
Explore advanced concepts in derived deformation theory, focusing on key principles and applications in higher structures in geometry and mathematical physics.
Derived Deformation Theory - Lecture 2
Explore advanced concepts in derived deformation theory, building on previous knowledge and delving into complex mathematical principles.
Derived Deformation Theory - Lecture 1
Explore derived deformation theory with Barbara Fantechi in this advanced mathematics lecture from CIRM's Audiovisual Mathematics Library.
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.
Introduction to Prismatic Cohomology - Lecture 2
Explore prismatic cohomology, focusing on general results and derived concepts. Delve into prismatization as a tool for understanding this advanced mathematical theory.
Introduction to Prismatic Cohomology - Lecture 1
Explore prismatic cohomology's foundations, including its applications in characteristic 0 and p, general results, prismatization, and the prismatic logarithm.
Basics of Derived Algebraic Geometry - Talk 38
Dive into fundamental concepts of derived algebraic geometry, exploring prestacks, tangent complexes, quasi-smooth derived schemes, and ind-coherent sheaf singular support analysis.