# Yatsugatake Workshop, 2023

# Condensed Mathematics

### Organizing Committee:

Ko Aoki (MPIM), Rhomei Iwasa (Orsay)CHiroyasu MiyazakiiNTT)CShuji Saito (Tokyo)### Speakers

Ko Aoki (MPIM)

Federico Binda (Milan)

Alexander Efimov (Steklov)

Kei Hagihara (Keio)

Ryomei Iwasa (Orsay)

Niklas Kipp (Regensburg)

Junnosuke Koizumi (Tokyo)

Lucas Mann (Muenster)

Yutaro Mikami (Tokyo)

Hiroyasu Miyazaki (NTT)

Yuta Takaya (Tokyo)

Daichi Takeuchi (Riken)

Seidai Yasuda (Hokkaido)

### This workshop is supported by

JSPS Grant-in-aid (Early-Career Scientists) #21K13783 representative Hiroyasu Miyazaki,

JSPS Grant-in-aid (A) #22H00093 representative Naoki Imai,

JSPS Grant-in-aid (B) #20H01791 representative Shuji Saito.

### Program

### 6(Wed)/Sep:

9:00-9:30 Aoki, "Overview"

9:30-10:30 Miyazaki, "Introduction to condensed mathematics"

11:00-12:30 Koizumi, "Condensed cohomology"

14:00-15:30 Takaya, "Homological algebra with locally compact abelian groups"

16:00-17:30 Hagihara, "Analytic rings"

### 7(Thu)/Sep:

9:00-10:30 Takeuchi, "Introduction to solid theory"

11:00-12:30 Binda, "The solid structure on Z"

14:00-15:30 Yasuda, "Six-functor formalisms"

16:00-17:30 Mikami, "The solid structure on a Huber pair"

### 8(Fri)/Sep:

9:00-10:30 Mann, "A p-adic six-functor formalism in rigid-analytic geometry I"

11:00-12:30 Mann, "A p-adic six-functor formalism in rigid-analytic geometry II"

14:00-15:00 Saito, "K-theory of non-archimedean rings"

15:30-16:30 Kipp, "Algebraic K-theory of stable infinity-categories, small and large"

17:00-18:00 Iwasa, "Nulear modules and K-theoretic applications"

### 9(Sat)/Sep:

9:00-10:30 Efimov, "Localizing motives I"

11:00-12:30 Efimov, "Localizing motives II"

14:00-15:30 Mann, "TBA"

16:00-17:30 Aoki, "On algebraic K-theory of toopological algebras"

### 10(Sun)/Sep:

10:00-12:00 "Concluding remarks":