FB 6 Mathematik/Informatik

Institut für Mathematik

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06.11.2019 um 17:15 Uhr in 69/125

Prof. Dr. Takayuki Hibi (Osaka University)

Reflexive Polytopes

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.

Oberseminar Angewandte Analysis

Oberseminar Stochastik

Oberseminar Algebra

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.