Grothendieck Groups Courses and Certifications

Hausdorff Center for Mathematics

Introduction to Higher Grothendieck Witt Groups

Explore advanced algebraic topology concepts with a focus on Higher Grothendieck Witt groups in this comprehensive lecture by Marco Schlichting.

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

International Mathematical Union

Alexander Efimov: On the K-Theory of Large Triangulated Categories

Explore Grothendieck groups, categorical localization, and continuous K-theory in large triangulated categories. Delve into higher algebraic K-theory, negative K-theory, and dualizable DG categories.

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

Institut des Hautes Etudes Scientifiques (IHES)

The Bloch-Esnault-Kerz Fiber Square in p-adic Hodge Theory

Explore the Bloch-Esnault-Kerz theorem, Beilinson's generalization, and Clausen's proposal for defining the Hodge-Tate period map in p-adic Hodge theory and algebraic K-theory.

• YouTube
• 1 hour 12 minutes
• On-Demand
• Free Video

Stony Brook Mathematics

Counting Curves in Calabi-Yau Threefolds

Explore enumerative invariants and a universal approach to counting curves in Calabi-Yau threefolds. Discover how cluster formalism aids computations and potentially simplifies conjectural identities between invariants.

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

IMSA

Homological Mirror Symmetry - Counting Curves on Calabi-Yau Threefolds

Explore advanced mathematical concepts in counting curves on Calabi-Yau threefolds, including Grothendieck groups, Gopakumar-Vafa conjecture, and MNOP conjecture implications.

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

BIMSA

Universally Counting Curves in Calabi-Yau Threefolds - ICBS 2024

Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and universal curve enumeration invariants.

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

IMSA

Universally Counting Curves in Calabi-Yau Threefolds

Explore enumerative geometry through a new perspective on curve counting in complex threefolds, focusing on the Grothendieck group of 1-cycles and its implications for the MNOP conjecture.

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

Institut des Hautes Etudes Scientifiques (IHES)

Universally Counting Curves in Calabi-Yau Threefolds

Explore a universal enumerative invariant for curves in algebraic varieties, focusing on threefolds with nef anticanonical bundle and its implications for the MNOP conjecture.

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

Centre International de Rencontres Mathématiques

A Universal Motivic Invariant of Birational Maps

Delve into Grothendieck groups of pairs and their connection to motivic invariants of birational maps, exploring new perspectives on median geometry-based invariants.

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

M-Seminar, Kansas State University

Universally Counting Curves in Calabi-Yau Threefolds

Explore universal enumerative invariants for curves in algebraic varieties, focusing on Calabi-Yau threefolds and their implications for the MNOP conjecture.

• YouTube
• 1 hour 11 minutes
• On-Demand
• Free Video

IMSA

Contact Loci of Arcs - Topology and Floer Theory in Hypersurfaces

Explore the topology of contact loci in hypersurfaces, examining their relationship with Floer theory and log minimal models while delving into motivic integration concepts.

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

BIMSA

Tilting Theory Revisited - Developments in Real Grothendieck Groups

Explore recent developments in tilting theory, focusing on real Grothendieck groups and 2-term silting complexes. Gain insights into g-fans, representation theory, and connections with canonical decompositions.

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