The Exponential Type Conjecture for Quantum Connections

Explore a mathematical seminar presentation from MIT's Zihong Chen that delves into the formal singularity type of quantum connections in Gromov-Witten theory. Learn about the exponential type conjecture and follow its proof for closed monotone symplectic manifolds through a reduction mod p argument. Understand the fundamentals of ordinary differential equations in characteristic p and Katz's local monodromy theorem. Examine the proof's key concepts through the lens of B-side mirror situations and matrix factorizations, before discovering how these principles apply to quantum connections through equivariant operations on quantum cohomology. The presentation concludes by demonstrating the adaptation of these theoretical frameworks to quantum connections, providing a comprehensive exploration of this fundamental question in mathematical physics.