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Programme

The registration will take place in the Reading Room 9.31 in School of Mathematics.

All lectures and tutorials take place in Lecture Theater 19 in Roger Stevens Building.

All coffee breaks take place in the Reading Room 9.31 in School of Mathematics.

Monday, June 24th
9:00 – 9:20 Registration
9:20 – 9:30 Welcome
9:30 – 11:00 UF Lecture 1 Peter Lumsdaine, Basics of homotopical foundations
11:00 – 11:30 Coffee break
11:30 – 13:00 HTT Lecture 1 Charles Rezk, What is a higher topos?
13:00 – 14:30 Lunch break
14:30 – 15:30 Tutorial Karol Szumiło, Introduction to ∞-categories
15:30 – 16:00 Coffee break
16:00 – 17:00 Tutorial Nicola Gambino, Syntax and semantics of type theory
Tuesday, June 25th
9:00 – 10:30 UF Lecture 2 Peter Lumsdaine, Truncation and connectivity
10:30 – 11:00 Coffee break
11:00 – 12:30 HTT Lecture 2 Charles Rezk, Homotopy theory in a higher topos
12:30 – 14:00 Lunch break
14:00 – 15:00 Tutorial Paige North, Homotopical models of type theory
15:00 – 15:30 Coffee Break
15:30 – 16:30 Special Lecture Emily Riehl, The synthetic approach to ∞-category theory
Wednesday, June 26th
9:00 – 10:30 UF Lecture 3 Peter Lumsdaine, Modalities and Blakers–Massey
10:30 – 11:00 Coffee break
11:00 – 12:30 HTT Lecture 3 Charles Rezk, Descent in a higher topos
Thursday, June 27th
9:00 – 10:30 UF Lecture 4 Peter Lumsdaine, Ordinary mathematics in the univalent world
10:30 – 11:00 Coffee break
11:00 – 12:30 HTT Lecture 4 Charles Rezk, Properties of a higher topos
12:30 – 14:00 Lunch break
14:00 – 15:00 Tutorial Nima Rasekh, Elementary higher toposes
15:00 – 15:30 Coffee Break
15:30 – 16:30 Special Lecture Benedikt Ahrens, Mechanized mathematics in univalent foundations
Friday, June 28th
9:00 – 10:30 UF Lecture 5 Peter Lumsdaine, Category theory in the univalent world
10:30 – 11:00 Coffee break
11:00 – 12:30 HTT Lecture 5 Charles Rezk, Maps of higher topoi and classifying topoi
12:30 – 14:00 Lunch break
14:00 – 15:00 Special Lecture André Joyal, Problems and conjectures on polynomial functors and monads in ∞-toposes