Enumerative Geometry Courses and Certifications

Institut des Hautes Etudes Scientifiques (IHES)

Enumerative Geometry, Physics and Representation Theory - 2021 Summer School

Explore advanced enumerative geometry through expert lectures on curve counting, gauge theory, and representation theory connections with mathematical physics applications.

• YouTube
• 1 day 20 hours 30 minutes
• On-Demand
• Free Video

BIMSA

Elliptic Cohomology and Enumerative Geometry

Explore the intersection of elliptic cohomology and enumerative geometry, focusing on stable envelopes and their role in understanding q-difference equations.

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

Stony Brook Mathematics

Enumerative Geometry Through Sheaves

Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.

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

IAS | PCMI Park City Mathematics Institute

Motivic Explorations in Enumerative Geometry - Part 4

Delve into advanced enumerative geometry concepts, exploring Bézout's theorem, tropical geometry, and motivic homotopy theory applications for solving geometric problems over arbitrary fields.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Motivic Explorations in Enumerative Geometry - Part 3

Delve into advanced enumerative geometry concepts, exploring Bézout's theorem, cubic surface lines, and tropical geometry applications through motivic homotopy theory for solving complex mathematical problems.

• YouTube
• 1 hour 3 minutes
• On-Demand
• Free Video

IAS | PCMI Park City Mathematics Institute

Motivic Explorations in Enumerative Geometry - Part 2

Delve into advanced enumerative geometry concepts, exploring Bézout's theorem, cubic surface lines, and tropical geometry through motivic homotopy theory for solving problems over arbitrary fields.

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

IAS | PCMI Park City Mathematics Institute

Motivic Explorations in Enumerative Geometry - Part 1

Explore motivic homotopy theory's application in enumerative geometry, focusing on Bézout's theorem and cubic surface line counting through A1 degree and tropical geometry concepts.

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

Fields Institute

Certified Homotopy Tracking in Enumerative Geometry

Explore certified homotopy tracking in enumerative geometry with Kisun Lee from Clemson University, focusing on advanced mathematical concepts and applications.

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

Harvard CMSA

Can Transformers Do Enumerative Geometry?

Explore how Transformers can model enumerative geometry through Neural Enumerative Reasoning for computing ψ-class intersection numbers, featuring the Dynamic Range Activator and insights into the network's implicit modeling of Virasoro constraints.

• YouTube
• 1 hour 1 minute
• 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

Isaac Newton Institute for Mathematical Sciences

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.

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

Institute for Advanced Study

Enumerative Problems Related to Moduli Spaces of Curves and Graphs

Explore advanced enumerative problems in geometry, focusing on moduli spaces of curves, their topology, and arithmetic properties through counting isomorphism classes and representation theory.

• YouTube
• 1 hour 10 minutes
• On-Demand
• Free Video

Fields Institute

Exploring the Real Parameter Space

Delve into enumerative geometry with Margaret Regan as she investigates real parameter spaces, offering insights into this fascinating mathematical realm.

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

Fields Institute

Real Circles Tangent to Three Conics

Explore the fascinating world of real circles tangent to three conics in this mathematical lecture by Julia Lindberg from the University of Texas at Austin.

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

Fields Institute

Schubert Problems of Types A and C in Macaulay2

Explore Schubert problems in types A and C using Macaulay2, focusing on computational approaches in enumerative geometry and algebraic combinatorics.

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