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DTSTAMP:20260424T040539Z
UID:68b01f2598aa7542235511@ist.ac.at
DTSTART:20250904T133000
DTEND:20250904T153000
DESCRIPTION:Speaker: Albert Chern\nhosted by Chris Wojtan\nAbstract: This t
 alk consists of two recent work\, one about topological and geometric anal
 ysis on fluid dynamics\, and the other about Penroses 8-conic theorem. Vor
 ticity formulation is a widespread description in fluid mechanics. However
 \, its applicability has been limited to simply-connected domains. We show
  that on non-simply-connected domains\, fluids cohomology component plays 
 an important role and can interact with the vortices. This interaction cor
 responds to a new equation of motion and new conservation laws which can b
 e viewed as Casimir invariants in Hamiltonian formulation of fluid dynamic
 s. The new equation allows us to construct new analytical unsteady solutio
 ns to Eulers equation. We also show that viscosity and curvature produce v
 ortices through an elegant formula.The second part of the talk is about an
  incidence theorem about conics in double contact\, first discovered by Si
 r Roger Penrose in his undergraduate years but remained unpublished until 
 recently revealed in interviews. The theorem includes as special cases man
 y well-known theorems of projective geometry as well as in metric geometri
 es. Through collaboration with a few projective geometry enthusiasts and P
 enrose himself\, the theorem is further developed.
LOCATION:Sunstone Bldg / Ground floor / Big Seminar Room A / 27 seats (I23.
 EG.102)\, ISTA
ORGANIZER:cpetz@ist.ac.at
SUMMARY:Albert Chern: New geometric theorems about Fluids and Conics
URL:https://talks-calendar.ista.ac.at/events/5980
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