Homotopy Probability Theory
Miniworkshop in Saarbrücken, 04 September  08 September, 2017


Funded by the ERC Advanced Grant NonCommutative Distributions in Free Probability 
Organised by Roland Friedrich and Carlos Vargas Obieta.
Participants
Aim of the workshop
Accommodation
Schedule
Talks & Abstracts
Participants
 DrummondCole, Gabriel (IBS Center for Geometry and Physics)
 EbrahimiFard, Kurusch (Norwegian University of Science and Technology NTNU)
 Friedrich, Roland (Saarland Universität)
 Frosini, Patrizio (Università di Bologna)
 Gwilliam, Owen (MPI für Mathematik Bonn)
 Koestler, Claus (University College Cork)
 Park, JaeSuk (IBS Center for Geometry and Physics, POSTECH)
 Patel, Amit (Colorado State University)
 Patras, Frédéric (Université de Nice SophiaAntipolis, UMR CNRSUNS)
 Speicher, Roland (Saarland Universität)
 VargasObieta, Carlos (CONACYTCIMAT)
 Voiculescu, DanVirgil (University of California, Berkeley)
 Tarrago, Pierre (CONACYTCIMAT)
Aim of the workshop
Homotopy Probability Theory is a recent development, which enriches the notion of an algebraic probability space (as used in noncommutative and free probability theory) with ideas from algebraic homotopy theory. It was originally initiated by JaeSuk 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
Schedule
to be updatedUpdated: 26 April 2017 Friedrich Roland; friedrich[at]math.unisb.de  Impressum 