Prof. Dr. Annette Huber-Klawitter, Albert-Ludwigs-Universität Freiburg, Vortrag: Differential forms in algebraic geometry -- a new perspective in the singular case
Thursday, 19.11.2015 16:30 im Raum M5
Differential forms originally show up when integrating or differentiating
on manifolds. However, the concept also makes perfect sense on algebraic
varieties because the derivative of a polynomial is a polynomial.
The object has very many important uses, e.g., as a source of invariants
needed in order to classify varieties. This approach was very successful
for smooth varieties, but the singular case is less well-understood.
We explain how the use of the h-topology (introduced by Suslin
and Voevodsky in order to study motives) gives a very good object also
in the singular case, at least in characteristic zero. The approach unifies
other ad-hoc notions and simplies many proofs. We also explain the
necessary modifications in positive characteristic and the new problems that
show up.
Angelegt am 27.08.2015 von Sandra Huppert
Geändert am 12.10.2015 von Sandra Huppert
[Edit | Vorlage]