Homotopy Probability Theory

Mini-workshop in Saarbrücken, 04 September - 08 September, 2017


Funded by the ERC Advanced Grant Non-Commutative Distributions in Free Probability

Organised by Roland Friedrich and Carlos Vargas Obieta.

Participants
Aim of the workshop
Accommodation
Schedule
Talks & Abstracts

Participants


Aim of the workshop

Homotopy Probability Theory is a recent development, which enriches the notion of an algebraic probability space (as used in non-commutative and free probability theory) with ideas from algebraic homotopy theory. It was originally initiated by Jae-Suk Park, motivated by quantum field theory, and also based on a surprising coincidence between morphisms of homotopy operadic algebras and cumulant functions (classical, free, boolean) in probability theory.
Topological Data Analysis, and in particular persistent homology, comprises a set of methods from algebraic topology in order to determine topological features of a data space at various scales. The proper features, which are not due to noise or other parameters, should be present over larger scales and hence characterise the underlying data more faithfully.
The aim of the workshop is to bring together people from different fields in mathematics, such as algebraic probability theory, mathematical physics, algebra and stochastic topology (topological data analysis) and to discuss further developments and applications of the theory. In particular, we expect to find rich interactions between the domains mentions above which should lead to new insights into the respective fields itself.
We intend to organise our meeting more as a workshop rather than a conference, with time for public and private discussions.

Accommodation

All participants are accommodated in Hotel Madeleine downtown Saarbruecken. Fur further information how to get to the hotel and how to get to the math department, see our webpage with information for visitors.

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Schedule

to be updated
All lectures take place in lecture hall IV, building E2 4. This lecture hall is equipped with a projector and blackboards.

The coffee breaks and the reception are on ground floor. The seminar rooms Seminarraum 6 and Seminarraum 7 (in the same building) can be used for private discussions during the conference.


Updated: 21 July 2017   Friedrich Roland; friedrich[at]math.uni-sb.de Impressum