Cohomology in algebra, geometry, physicsand statistics

The de Finetti theorem in categorical probability

Speaker’s name:

Tobias Fritz

Speaker’s affiliation:

University of Innsbruck, Austria

Place:

ZOOM meeting

Date:

Wednesday, 7. April 2021 - 11:30 to 12:30

Abstract:

While probability theory is traditionally based on measure theory and Kolmogorov's axioms as a foundation, the recently proposed

formalism of Markov categories constitutes a potential alternative approach in which a (modest) number of classical theorems of probability

and statistics have already been reproduced and generalized. In this talk, I will introduce this approach and illustrate its utility by

providing a statement and proof of the classical de Finetti theorem in entirely abstract categorical terms without measure theory. Based on

joint work with Tomáš Gonda, Paolo Perrone and Eigil Rischel.

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We open ZOOM at 11.30 and close at 13.00.

formalism of Markov categories constitutes a potential alternative approach in which a (modest) number of classical theorems of probability

and statistics have already been reproduced and generalized. In this talk, I will introduce this approach and illustrate its utility by

providing a statement and proof of the classical de Finetti theorem in entirely abstract categorical terms without measure theory. Based on

joint work with Tomáš Gonda, Paolo Perrone and Eigil Rischel.

--------------------------------------------------------------------------------------------------------------------------------------------------------------------

We open ZOOM at 11.30 and close at 13.00.

Join Zoom Meeting

https://cesnet.zoom.us/j/99598413922?pwd=ckltMjgwTEswMFc2ejJkL1ltYWt5dz09

Meeting ID: 995 9841 3922

Passcode: Finetti