Planned Segment

Combinatorics and Additive Number Theory

Guest: Dr. Ben Green

How do combinatorial methods reveal structure in prime numbers and additive patterns in integers?

Planned Segment

Representation Theory and Physics

Guest: Dr. Geordie Williamson

How does representation theory of Lie groups and algebras structure gauge theories and particle physics?

Planned Segment

Partial Differential Equations and Fluid Dynamics

Guest: Dr. Camillo De Lellis

What mathematical structures govern solutions to nonlinear PDEs, and what can we prove about turbulent fluid flow?

Planned Segment

Inverse Problems and Tomography

Guest: Dr. Gunther Uhlmann

Can we uniquely reconstruct internal structure from boundary measurements, and what mathematical obstructions arise?

Planned Segment

Extremal Combinatorics and Graph Theory

Guest: Dr. Benny Sudakov

What are the maximum or minimum sizes of combinatorial structures under constraints, and what techniques prove tight bounds?

Planned Segment

Geometric Measure Theory and Minimal Surfaces

Guest: Dr. Camillo De Lellis

How does geometric measure theory resolve singularities in minimal surfaces and calculus of variations problems?