Dr. Ben Lambert, University of Derby, UK: Lagrangian Mean Curvature Flow with Boundary

Dr. Ben Lambert, University of Derby, United Kingdom, prezinta conferinta cu titlul:

Lagrangian Mean Curvature Flow with Boundary

Conferinta invitata va avea loc vineri, 23 aprilie, 13:00-14:00, pe platforma Zoom la aceasta adresa (Meeting ID: 942 5742 9397, Passcode: 863502).

Abstract: The foundational result of Lagrangian Mean Curvature Flow (LMCF) is that in Calabi–Yau manifolds, high codimensional mean curvature flow preserves the Lagrangian condition. A natural question is then to ask if this can this be generalised to manifolds with boundary. Equivalently, what is a well-defined boundary condition for LMCF? In this talk I will provide an answer to this question, and then demonstrate that the resulting flow exhibits good behaviour in two model situations, namely with boundary on the Lawlor neck and Clifford Torus respectively. No prior knowledge of geometric flows will be assumed. This work is joint with Chris Evans and Albert Wood.