Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

Collection Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1

Organizer(s) Fantini, Lorenzo ; Pełka, Tomasz ; Pichon, Anne ; Rond, Guillaume

Date(s) 27/01/2025 - 31/01/2025

linked URL https://conferences.cirm-math.fr/3267.html

00:00:00 / 00:00:00

14 20

Piecewise linear geometry and spaces of valuations

By François Loeser

We will start with a general overview of the interactions of piecewiselinear geometry with non-archimedean geometry, originating in the classical work of Bieri–Groves. We will then present a general finiteness result in tropical geometry obtained recently in joint work with A. Ducros, E. Hrushovski and J. Ye.

Information about the video

Date of recording 30/01/2025
Date of publication 14/02/2025
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers, Graduate Students
Director(s) Luca Recanzone
Format MP4

Citation data

DOI 10.24350/CIRM.V.20294003
Cite this video LOESER, François (30/01/2025). Piecewise linear geometry and spaces of valuations. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20294003
URL https://dx.doi.org/10.24350/CIRM.V.20294003

Domain(s)

Bibliography

DUCROS, Antoine, HRUSHOVSKI, Ehud, LOESER, François, et al. Tropical functions on a skeleton. arXiv preprint arXiv:2210.04003, 2022. - https://doi.org/10.48550/arXiv.2210.04003
DUCROS, Antoine, HRUSHOVSKI, Ehud, LOESER, François, et al. .Tropical functions on a skeleton. Journal de l'École polytechnique — Mathématiques, Tome 11 (2024), pp. 613-654. - https://jep.centre-mersenne.org/articles/10.5802/jep.261/

MSC codes

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow

All the collection videos

01:06:46

published on February 14, 2025

Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 3

By Patrick Popescu-Pampu

48:19

published on February 14, 2025

A singular path through toric geometry

By Pedro Daniel Gonzalez Perez

34:20

published on February 14, 2025

Nash blowup fails to resolve singularities in dimensions four and higher

By Maximiliano Leyton-Álvarez

52:54

published on February 14, 2025

Resolution of foliated varieties by torus actions

By Jaroslaw Wlodarczyk

01:03:01

published on February 14, 2025

Tropical and logarithmic techniques for the study of Milnor fibers - lecture 2

By Patrick Popescu-Pampu

01:05:55

published on February 14, 2025

Tropical and logarithmic techniques for the study of Milnor fibers - Lecture 1

By Patrick Popescu-Pampu

47:58

published on February 14, 2025

Specialization techniques and stable rationality - Lecture 1

By John Christian Ottem

51:02

published on February 14, 2025

Specialization techniques and stable rationality - Lecture 2the motivic volume formula of Nicaise-Shinder

By John Christian Ottem

57:50

published on February 14, 2025

Specialization techniques and stable rationality - Lecture 3

By John Christian Ottem

48:53

published on February 14, 2025

Semialgebraic Whitney partition of unity

By Anna Valette

54:40

published on February 14, 2025

The KSBA moduli space of stable log Calabi-Yau surfaces

By Hülya Argüz

01:01:30

published on February 14, 2025

Motivic invariants via non-archimedean geometry - Lecture 2

By Arthur Forey

01:02:52

published on February 14, 2025

Motivic invariants via non-archimedean geometry - Lecture 3

By Arthur Forey

51:35

published on February 14, 2025

Piecewise linear geometry and spaces of valuations

By François Loeser

59:57

published on February 14, 2025

A universal motivic invariant of birational maps

By Hsueh-Yung Lin

01:03:06

published on February 14, 2025

Motivic invariants via non-archimedean geometry - Lecture 1

By Arthur Forey

57:21

published on February 14, 2025

Teissier singularities

By Hussein Mourtada

55:24

published on February 14, 2025

Generic theta divisors

By Nero Budur

54:13

published on December 10, 2021

Motivic, logarithmic and topological Milnor fibrations

By Goulwen Fichou

49:48

published on February 14, 2025

Semi-homogeneous bundles, Fourier-Mukai transforms, and tropicalization

By Martin Ulirsch

Copyright Carmin.tv 2025

Give feedback