Seminario Conexión de GALoiS - 31.3.23 - Around the proof of categoricity of modular functions - Andrés Villaveces
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Andrés Villaveces
Mar 30, 2023, 9:10:48 PM3/30/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Departamento de Matem�ticas Ciencias, Joel Nagloo
Friday 31 March. 11 am Bogotá / Chicago
Meet: http://meet.google.com/oyv-msmv-mos
Andrés VILLAVECES NIÑO (UNAL).
Around the proof of categoricity of modular functions
Abstract: This continues the lecture from a week ago. Within the large-scale framework presented then, a core proof (with variants of different sorts in the 8 situations mentioned) emerged: a connection between categoricity of modular (or Shimura, or...) curves in the setup put forth by Zilber et al, on the one hand, and behavior of the Galois representation (Mumford-Tate Conjecture) on the other hand. I will discuss various aspects of this proof, trying to give a general picture of (part of (one of the directions of)) the proof, and some technical issues that have emerged in our discussions with John Baldwin and Ronnie Nagloo.
More info here: https://sites.google.com/view/bogotalogica/courses-and-seminars/2023-1/seminario-conexi%C3%B3n-de-galois
---
avillavecesn.net
Departamento de Matemáticas - Edificio 404
Universidad Nacional de Colombia
AK 30 # 45-03
111321 - Bogotá - Colombia
Tel: +57 601 3165000 ext 13209
Andrés Villaveces
Apr 13, 2023, 9:27:41 PM4/13/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Departamento de Matem�ticas Ciencias, Joel Nagloo, Zoran Skoda
Friday 14 March. 11 am Bogotá / Chicago
Joel (Ronnie) NAGLOO (UIC). Towards counting types
Abstract: The connection between Galois representation and counting types will be explored.
Abstract: The connection between Galois representation and counting types will be explored.
Andrés Villaveces
Apr 20, 2023, 7:12:46 PM4/20/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Departamento de Matem�ticas Ciencias, Joel Nagloo, Zoran Skoda
Friday 21 March. 11 am Bogotá / Chicago
John BALDWIN (UIC). Towards counting types
Abstract: I will discuss the connection between the domain and variety side-- roughly where Ronnie ended-- and then describe the types that need to be counted.
Andrés Villaveces
Apr 28, 2023, 12:06:41 PM4/28/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Departamento de Matem�ticas Ciencias, Joel Nagloo, Zoran Skoda
Hoy no tendremos sesión de nuestro seminario Conexión de GALoiS.
Próxima sesión: viernes 5 de mayo, hora usual.
Andrés Villaveces
Aug 31, 2023, 4:41:11 PM8/31/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Departamento de Matem�ticas Ciencias, Joel Nagloo, Zoran Skoda, Xavier Caicedo
Our Seminar (Conexión de GALoiS), jointly organized between UIC and UNAL, resumes tomorrow!
We plan to have lectures on mirror symmetry, the model theory of inverse limits, the model theory of covers, etc., by John Baldwin, Xavier Caicedo, Alexander Cruz, Andrés Villaveces and hopefully other people interested in or working in subjects of interaction between Model Theory and Geometry (understood in a wide sense).
The lectures will be at noon (in Chicago and Bogotá) or sometimes at 3 pm, on Fridays.
First lecture: 1 September, 12:00 noon,
Google Meet: http://meet.google.com/oyv-msmv-mos
Speaker: John Alexander CRUZ (UNAL)
On the modularity of mirror maps: connections with model theory.
Abstract: (later)
Andrés Villaveces
Oct 3, 2023, 10:01:27 AM10/3/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo
Friday 6 October. 12:00 to 13:30 Bogotá / Chicago
Meet: http://meet.google.com/oyv-msmv-mos
John Alexander CRUZ - UNAL (Bogotá)
Mirror maps, differential equations and model theory
In
this series of talks I will introduce some Schwarzian differential
equations that can be obtained from mirror maps for Calabi-Yau
manifolds, in particular, hypersurfaces in projective spaces. I will
propose a set of expectations about the model theoretic properties of
those equations that should extend properties studied in the works of
Aslanyan, Freitag, Nagloo, Scanlon and others. The goal is to formulate
those expectations as theorems and discuss the strategy of their proof.
At the end, I will mention some possible applications of the model
theoretic properties in the study of mirror symmetry.
Andrés Villaveces
Oct 10, 2023, 5:23:19 PM10/10/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober
Friday 13 October. 12:00 to 13:30 Bogotá / Chicago
John Alexander CRUZ - UNAL (Bogotá)
Mirror maps, differential equations and model theory (part II)
In
this series of talks I will introduce some Schwarzian differential
equations that can be obtained from mirror maps for Calabi-Yau
manifolds, in particular, hypersurfaces in projective spaces. I will
propose a set of expectations about the model theoretic properties of
those equations that should extend properties studied in the works of
Aslanyan, Freitag, Nagloo, Scanlon and others. The goal is to formulate
those expectations as theorems and discuss the strategy of their proof.
At the end, I will mention some possible applications of the model
theoretic properties in the study of mirror symmetry.
Andrés Villaveces
Oct 25, 2023, 4:53:18 PM10/25/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober
Friday 27 October. 12:00 to 13:30 Bogotá / Chicago
John Alexander CRUZ - UNAL (Bogotá)
Mirror maps, differential equations and model theory (part III)
In
this series of talks I will introduce some Schwarzian differential
equations that can be obtained from mirror maps for Calabi-Yau
manifolds, in particular, hypersurfaces in projective spaces. I will
propose a set of expectations about the model theoretic properties of
those equations that should extend properties studied in the works of
Aslanyan, Freitag, Nagloo, Scanlon and others. The goal is to formulate
those expectations as theorems and discuss the strategy of their proof.
At the end, I will mention some possible applications of the model
theoretic properties in the study of mirror symmetry.
Andrés Villaveces
Nov 9, 2023, 11:23:46 AM11/9/23
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober
Friday 10 November. 12:00 to 13:30 Chicago time
OJO: 13:00 a 14:30 Hora de Bogotá
Meet: http://meet.google.com/oyv-msmv-mos
Open Discussion (Alexander CRUZ, John BALDWIN, James FREITAG, Ronnie NAGLOO, Andrés VILLAVECES, Anatoly LIBGOBER)
Mirror maps and model theory
After the series of talks led by Alex Cruz, we will hold an open discussion on possible connections between Mirror Symmetry and Model Theory (the role of differential equations and DCF, the possible roles of infinitary logic and quasiminimality, and possible variants of modularity.
Andrés Villaveces
Feb 15, 2024, 4:54:07 PMFeb 15
to logbog, John Baldwin, John Alexander Cruz Morales, coocurm...@unal.edu.co, Leonardo Arturo Cano Garcia, David Blazquez Sanz, Joel Nagloo, Zoran Skoda, Xavier Caicedo, Anatoly Libgober, Departamento de Matem�ticas Ciencias, Michael Harris
Friday 16 February. 12:00 to 13:30 Chicago time
Joel (Ronnie) Nagloo - UIC:
Model theory and the Schwarzian equations
Abstract:
The Schwarzian equations appear as the uniformizing differential
equations for Fuchsian covering maps (or uniformizers). In this talk I
will survey the work with Blázquez-Sanz, Casale and Freitag, around
using model theoretic techniques to study these equations. I will also
try and discuss some of the questions asked about them in the previous
talks.
---
avillavecesn.net
Departamento de Matemáticas - Edificio 404
Universidad Nacional de Colombia
AK 30 # 45-03
111321 - Bogotá - Colombia
Tel: +57 601 3165000 ext 13209
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