Algebraic Variety Courses and Certifications

Hausdorff Center for Mathematics

Roger Heath-Brown- The Determinant Method, Lecture II

Explore the p-adic Determinant Method theorem and its proof in algebraic geometry, advancing understanding of rational points on varieties.

• YouTube
• 54 minutes
• On-Demand
• Free Video

IMSA

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.

• YouTube
• 57 minutes
• On-Demand
• Free Video

Fields Institute

Algebraic Varieties in Quantum Chemistry

Explore algebraic varieties in quantum chemistry with Bernd Sturmfels from U.C. Berkeley, examining the intersection of commutative algebra and quantum chemical applications.

• YouTube
• 1 hour
• On-Demand
• Free Video

Institute for Advanced Study

p-Curvature and Non-Abelian Cohomology

Explore non-abelian cohomology structures for algebraic variety families and discover a new proof extending Katz's p-curvature conjecture to fundamental group representations.

• YouTube
• 1 hour 7 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Pairs and Stable Completions of Difference Varieties

Explore pairs of ACFA models and their application to definable types in valued difference fields, advancing toward stable completions theory in this mathematical setting.

• YouTube
• 1 hour 4 minutes
• On-Demand
• Free Video

IMSA

Motivic Aspects of Complex Analytic Geometry

Explore motivic aspects of cohomology rings in complex analytic geometry through o-minimal geometry, based on joint research examining algebraic varieties.

• YouTube
• 58 minutes
• On-Demand
• Free Video

Centre International de Rencontres Mathématiques

An Introduction to the Minimal Model Program for Foliations - Lecture 2

Delve into the Minimal Model Program for foliations, exploring recent developments in rank one, co-rank one, and algebraically integrable foliations, with insights on adjoint foliated structures.

• YouTube
• 1 hour
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Beautiful Pairs of Algebraically Closed Valued Fields and Non-Standard Frobenius

Explore beautiful pairs in algebraically closed valued fields and their applications to definability questions, featuring Ax-Kochen-Ershov reductions and non-standard Frobenius.

• YouTube
• 55 minutes
• On-Demand
• Free Video

Institute for Pure & Applied Mathematics (IPAM)

Support Variety Theory for Algebraic Supergroups

Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.

• YouTube
• 52 minutes
• On-Demand
• Free Video

ICTP Mathematics

ICTP-IGAP Seminar on Algebraic Geometry - The SL(2) Action on the Chow Ring of an Abelian Variety

Explore the sl(2) action on the Chow ring of an abelian variety in this advanced algebraic geometry seminar by Alina Marian, delving into complex mathematical concepts and theories.

• YouTube
• 1 hour 6 minutes
• On-Demand
• Free Video

ICTP Mathematics

Algebraic Geometry

Master algebraic geometry fundamentals through comprehensive lectures covering varieties, schemes, and geometric structures in this ICTP diploma program.

• YouTube
• 1 day 6 hours 23 minutes
• On-Demand
• Free Video

Institut Henri Poincaré

Reinventing Rational Points

Explore advanced techniques in arithmetic geometry, from Brauer-Manin obstructions to counting rational points on algebraic varieties through analytic and geometric methods.

• YouTube
• 2 days 3 minutes
• On-Demand
• Free Video

ICTP Mathematics

Hochschild (co)homology and Geometric Regularity - Andrea Solotar

Explore Hochschild (co)homology's role in geometric regularity for associative algebras. Discover its applications in commutative and non-commutative settings, and its significance in algebraic geometry.

• YouTube
• 1 hour 2 minutes
• On-Demand
• Free Video

Institut des Hautes Etudes Scientifiques (IHES)

Characteristic Classes of Étale Local Systems

Explore characteristic classes of étale Z_p-local systems on algebraic varieties, their relation to Chern-Simons classes, and connections to Hodge filtration in p-adic settings.

• YouTube
• 1 hour 9 minutes
• On-Demand
• Free Video

Hausdorff Center for Mathematics

Roger Heath-Brown: The Determinant Method I

Explore rational points on algebraic varieties, their counting methods, and related phenomena in this advanced mathematics lecture by renowned number theorist Roger Heath-Brown.

• YouTube
• 53 minutes
• On-Demand
• Free Video