Past Events

This talk demonstrates a new metric for measuring phonetic similarity between speech sounds, based on several types of phonetic data collected for a set of 130 consonants and vowels. Phonetic similarity is frequently invoked for explaining a wide...

Equivariant Lefschetz invariants have already appeared in algebraic topology. Here I will show how to approach them using the so-called equivariant KK-theory of Kasparov — the main tool of the new field of noncommutative geometry. I will sketch the...

We study and determine a homotopy type of the moduli space of all generalized Morse functions on d-manifolds for given d. This moduli space is closely connected to the moduli space of all Morse functions studied by Madsen and Weiss and classifying...

After an introduction on Tikhonov regularization for linear inverse problems, we will encounter an example from inverse electromyography, where the classical Tikhonov method runs into numerical trouble. We will then look at an alternative approach...

Abstract: Studying non-smooth geometric objects is a very important and modern research topic in differential geometry and geometric analysis. In particular it is interesting to know to which extent these objects can be approximated by smooth ones.In...

Abstract: The minimal heat kernel on a Riemannian manifold is conservative if it integrates to 1. If this is the case, the manifold is said to be stochastically complete. Since the heat kernel is the transition density function of Brownian motion, a...

Abstract: We address the task of reconstructing images corrupted by Poisson noise, which is important in various applications, such as fluorescence microscopy, positronemission- tomography (PET) or astronomical imaging. We focus on reconstruction...