Our group seminar takes place in the autumn semester of 2024 on Fridays at 10am, starting on 27 September.

For the first weeks of this semester, we will study abstract probability theory (measure theory, going via probability theory and probabilistic processes, all the way to stochastic differential equations) and build in parallel a category theoretic understanding of probability theory. For questions or if you wish to participate, please contact Berend van Starkenburg.

Probability Theory Meetings

Literature

• A. Klenke, Probability Theory: A Comprehensive Course. in Universitext. Cham: Springer International Publishing, 2020. doi: 10.1007/978-3-030-56402-5.
• O. Kallenberg, Foundations of Modern Probability, vol. 99. in Probability Theory and Stochastic Modelling, vol. 99. Cham: Springer International Publishing, 2021. doi: 10.1007/978-3-030-61871-1.
• M. Giry, ‘A categorical approach to probability theory’, in Categorical Aspects of Topology and Analysis, B. Banaschewski, Ed., Berlin, Heidelberg: Springer Berlin Heidelberg, 1982, pp. 68–85. doi: 10.1007/BFb0092872
• B. Jacobs, Structured Probabilistic Reasoning. Draft, 2023. Available: online
• C. Heunen, O. Kammar, S. Staton, and H. Yang, ‘A convenient category for higher-order probability theory’, in Proc. of LICS’17, IEEE Computer Society, 2017, pp. 1–12. doi: 10.1109/LICS.2017.8005137.

27 September 2024

• Time: 10am
• Room: Gorlaeus Building CE.0.18
• Topics: Round of introduction, exchange of interests and planning, and basics of measure theory.