Caesarea Workshop on
Topological Cyclic Homology
01/05/2023 to 03/05/2023
Caesarea Sea Center - Kibbutz Sdot Yam
Research Workshop of the Israel Science Foundation
Three days workshop with Thomas Nikolaus (WWU Münster) on cyclotomic spectra, THH and related invariants (such as TC, TP, TR, TC^-), their universal properties and their relationship to algebraic K-theory and p-adic Hodge theory.
The workshop has a limited number of rooms available. Please note registration serves only as an application.
Schedule
Day 1
01/05/2023
10:00-11:00
Arrival & Registration
11:00-12:00
Introduction and overview
Thomas Nikolaus
Lunch
13:15-14:15
Tate construction
Beckham Myers
14:30-15:30
Tate diagonal
Guy Kapon
16:00-17:00
Cyclotomic spectra and TC
Thomas Nikolaus
17:30-18:30
Noncommutative motives and algebraic K-theory
Jonatan Kogan
Dinner
20:00
Informal discussion
Day 2
02/05/2023
08:00-09:00
Breakfast
09:00-10:00
THH for stable ∞-categories
Thomas Nikolaus
10:15-11:15
Proof of Bökstedt periodicity
Asaf Yekutieli
11:45-12:45
Witt vectors
Bastiaan Cnossen
Lunch
14:00-15:00
Almkvist theorem and cyclic K-theory
Shauly Ragimov
15:15-16:15
TR and Cartier modules
Thomas Nikolaus
Free time
18:45
Conference dinner
Day 3
03/05/2023
08:00-09:00
Breakfast
09:00-10:00
Polygonic spectra
Shai Keidar
10:15-11:15
Computations for Fp
Thomas Nikolaus
11:45-12:45
Perfectoid and quasi-regular semiperfectoid rings
Jeroen Hekking
Lunch
14:00-15:00
δ-rings and prisms
Edith Huebner
15:15-16:15
BMS filtration and prismatic cohomology
Thomas Nikolaus
Lecture Notes
David Blanc kindly contributed his notes - day 1, days 2 and 3 (missing the last three lectures).
Background Material
We recommend the following sources:1. Higher algebra lecture series (videos) by Achim Krause and Thomas Nikolaus. Particularly lectures 8 and 9.2. Introduction to stable homotopy theory (course notes and videos) by Denis Nardin.Also relevant are Achim Krause and Thomas Nikolaus's course on topological Cyclic homology (course notes and videos).
Venue
Caesarea Sea Center
Kibbutz Sdot Yam
Free parking is available.
All food served will be vegetarian.
The dining hall serves kosher meals under the regular kosher supervision of the Hof Hacarmel local authority.
Please let us know if have any dietary restrictions.