06.11.2019 um 17:15 Uhr in 69/125
Prof. Dr. Takayuki Hibi (Osaka University)
A reflexive polytope is a lattice polytope whose dual polytope is again a lattice polytope. In my talk, after reviewing reflexive polytopes from a viewpoint of enumeration of lattice points, current topics related to construction of reflexive polytopes will be discussed. No special knowledge will be required to understand my talk.
05.11.2019 um 16:15 Uhr in 69/125:
Ilya Smirnov (Stockholm University)
Improving Lech's inequality
Lech's inequality is a fundamental inequality in a local ring that uniformly relates the multiplicity and the colength of a finite colength ideal. For monomial ideals there is a nice combinatorial proof and the general proof reduces to this case. Lech's inequality is never sharp in dimension at least two and in my talk I will present a way to fix it.