From Internal ∞-Categories to the Foundation of Mathematics

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Event details

Date 31.03.2025
Hour 13:4514:45
Speaker Nima Rasekh, Universität Greifswald
Location
Category Conferences - Seminars
Event Language English

Internal categories extend the concept of ordinary categories, enabling the application of categorical methods across diverse contexts, from Lie groupoids to condensed categories. A particularly elegant use of internal category theory arises in higher categorical sheaf theory, having resulted in powerful ∞-categorical techniques and results internal to Grothendieck ∞-topoi. In this talk, we seek to generalize several results to more general internal ∞-categories, only to encounter unexpected challenges that surprisingly intertwine ∞-category theory with the foundations of mathematics.

Practical information

  • General public
  • Free

Organizer

  • Virgile Constantin

Contact

  • Maroussia Schaffner

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