Cohomological Aspects of Quantum Field Theory

January 15 - April 25, 2025

Quantum Field Theory (QFT) is a cornerstone of modern fundamental physics with a wide range of applications, from high-energy physics to mathematical physics. The ideas and techniques of QFT have had a significant
impact on the development of mathematics. Over the years, many aspects of QFT have been formalized withina proper mathematical framework. In mathematics, homological/cohomological techniques are typically associated
with the study of (co)chain complexes, which can be explored through both their homology and cohomology. This program concentrates on the application of homological/cohomological techniques in the context of QFT.

The program focuses on three different areas: cohomological field theories and enumerative invariants, BV-formalism, and formal geometry, as well as categorification in the context of QFT.

Further details about the program will be made available closer to the date.

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Participants

Name University Country Arrival and Departure
Anton
Alekseev
University: University of Geneva City: Switzerland Arrival and Departure: Apr 14 - Apr 25, 2025
Francesco
Bonechi
University: Istituto Nazionale di Fisica Nucleare City: Italy Arrival and Departure: Jan 15 - Apr 25, 2025
Henrique
Bursztyn
University: IMPA City: Brasil Arrival and Departure: Jan 15 - Feb 5, 2025
Alberto
Cattaneo
University: University of Zurich City: Switzerland Arrival and Departure: Jan 15 - Feb 7, 2025
Ezra
Getzler
University: Northwestern University, Department of Mathematics City: USA Arrival and Departure: Jan 15 - Apr 25, 2025
Si
Li
University: Tsinghua University City: China Arrival and Departure: Jan 15 - Feb 15, 2025
Pavel
Mnev
University: University of Notre Dame City: United States Arrival and Departure: Mar 8 - Mar 13, 2025
Kasia
Rejzner
University: University of York City: United Kingdom Arrival and Departure: Mar 10 - Mar 23, 2025
Nicolai
Reshetikhin
University: Tsinghua University City: China Arrival and Departure: Apr 10 - Apr 25, 2025
Mathieu
Stienon
University: Penn State U, USA City: United States Arrival and Departure: Jan 15 - Apr 25, 2025
Mathai
Varghese
University: University of Adelaide City: Australia Arrival and Departure: Mar 1 - Apr 25, 2025
Ping
Xu
University: Penn State University City: USA Arrival and Departure: Feb 23 - Apr 26, 2025
Maxim
Zabzine
University: Uppsala University City: Sweden Arrival and Departure: Jan 15 - Apr 15, 2025