Monday, January 23, 2017
TU Berlin
Institut für Mathematik
Straße des 17. Juni 136
10623 Berlin
room MA 041
Colloquium - 16:00
Abstract:
Cyclic quotient singularities form the first non-trivial
class of singular toric varities. Combinatorially they arise from two-
dimensional cones. These cones are deeply connected with continued
fractions. This allows one to reinterpret the algebraic geometry of
cyclic quotient singularities first combinatorially via the cones and
then in terms of the continued fractions.
After introducing this connection and the involved objects, I will
present examples illustrating a combinatorial interpretation of certain
derived functors from algebraic geometry in terms of continued
fractions.