Speaker: Tristan Collins (Massachusetts Institute of Technology/ MIT)
Title: Calabi-Yau manifolds, free boundaries and optimal transport
Abstract: Compact Calabi-Yau manifolds are fundamental objects in geometric analysis and theoretical physics. I will discuss some problems concerning non-compact Calabi-Yau manifolds, highlighting their role as building blocks for compact Calabi-Yau manifolds and discussing connections to questions in nonlinear partial differential equations including optimal transportation and free boundary problems.