Žan GradDoctoral student at CAMGSD, Instituto Superior Técnico, Lisbon.

Publications

  1. Fundamentals of Lie categories. Available on arXiv, to appear in J. Noncommut. Geom.

In preparation

  1. Double complexes of representation-valued forms. To appear in January 2025.
  2. Yang-Mills theory for multiplicative Ehresmann connections. To appear in Spring 2025.

Talks

  • Exterior covariant derivative in the generalized Bott-Shulman complex, JMU Würzburg, January 31, 2025 (planned).
  • The exterior covariant derivative of multiplicative forms, IMPA (Rio de Janeiro), November 14, 2024.
  • Crash course on Symplectic fibrations, Radboud University Nijmegen, April 2024.
  • A mini course on Lie categories at Lie groupoid and algebroid week in Coimbra II., July 2023.
  • Lie categories, Geometry Seminar of Lisbon, May 9 2023. Recording and slides.
  • Lie categories, PhD seminar of Radboud University Nijmegen, April 2023.
  • Two talks on Lie categories, Topology Seminar of Ljubljana, March 20 and March 27 2023. Recordings: Part 1, Part 2.
  • Mini course on Minkowski space and the theory of relativity, Summer school of Mathematics and Physics at University of Ljubljana, August 2019.

Posters

Expositions

  • A constructive proof of Lie's third theorem for Lie algebras (handwritten notes): part I, part II. This is an exposition of the integration technique from the book by Duistermaat and Kolk, which was presented at the Integration seminar in Spring 2024.

In Slovenian:

Conference and workshop schedule

2025

2024

2023

2022