ODDZIAŁ GDAŃSKI POLSKIEGO TOWARZYSTWA MATEMATYCZNEGO ORAZ INSTYTUT MATEMATYKI UG ZAPRASZAJĄ NA WYKŁAD Z CYKLU: KOLOKWIA
pt. „Toric manifolds, old and new” który wygłosi: profesor Tadeusz Januszkiewicz – IM PAN oraz Uniwersytet Wrocławski
Odczyt odbędzie się dnia 19. 10. 2018 r. (piątek) o godz.13.15 w auli 2
Wydział MFiI UG ul. Wita Stwosza 57, Gdańsk-Oliwa.
Toric manifolds, topological generalizations of toric varieties of algebraic geometry, were introduced in 1990′ by Michael W. Davis and myself, and were quite intensively studied ever since.
They are manifolds M^2n with a locally standard action of the torus T^n. The quotient space is then a maniflod with corners, and we ostulated that it is homeomorphic to a simple convex polytope.
Recently new examples of actions (M^2n, T^n), with topologically complicated quotients, were discovered and the need to reexamine the theory arose.
I will present what has been acheived in this direction and, time permitting, discuss challenges.