Andreas Bernig's Mathematical Colloquium at SISSA

[Antonio Lerario]

Dear everyone,

this is to announce next SISSA mathematical colloquium:

Speaker: Andreas Bernig (Frankfurt)
Title: Algebraic Integral Geometry
When: Monday, February 24 at 4pm
Where: SISSA main building, room A-005

Everyone is much welcome (and encouraged!) to attend.
The abstract follows.

Best,
Antonio

Andreas Bernig: "Algebraic Integral Geometry"

Abstract: I give an overview of recent developments on kinematic formulas
on flat and curved spaces. The classical kinematic formula due to
Chern-Blaschke-Santalo is related to flat euclidean space. It may be
generalized
to hermitian and quaternionic vector spaces, and more generally to
isotropic Riemannian manifolds. To determine these formulas in an explicit
way is a difficult task which was solved in many but not all cases. In the
particular case of complex space forms, Alesker's theory of valuations on
manifolds and algebraic structures such as product and Poincaré duality of
valuations play a central role.


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