Geometry and Theoretical Physics, Uniandes SRI-2019

22 jul. 2019 8:00 → 27 jul. 2019 14:00 America/Bogota

Villa de Leyva

Alexander Cardona (Universidad de los Andes) , Andrés Fernando Reyes Lega (Universidad de los Amdes)

The aim of the Summer Research Institute is to gather leading researchers and graduate students (as well as advanced undergraduates) in mathematics and physics during an intensive one week program that should serve as a platform for the exchange of ideas and formulation of new problems. The event will take place in Villa de Leyva from July 22 to 27; a total of 6 days during which the participants will have the opportunity to interact in an engaging environment. The invited lecturers will give talks about their respective fields of expertise during the morning sessions. There will also be the opportunity for other participants to present their results. The afternoon sessions will provide plenty of opportunities for informal academic exchange and interaction.

lunes, 22 julio

9:00 → 9:30 Opening

9:30 → 11:00 Lunes 22 - 1: Geometry of the Poincaré Half -Space associated to a C*-Algebra 1h30'

Moderador: Dr Lázaro Recht (IAM)

Abstract-Recht.pdf

Corach-Porta-Recht-1993.pdf

Corach-Porta-Recht-1994.pdf

Porta-Recht1994.pdf

11:00 → 11:30 Coffee break

11:30 → 12:30 Lunes 22 - 2: On Riemannian foliations in Poisson manifolds

Moderador: Mr Andrés Vargas (Universidad Javeriana)

Abstract-Vargas.pdf

12:30 → 14:30 Lunch

14:30 → 15:00 Lunes 22 - 3: Emergent Gauge Symmetries and Quantum Operations

Moderador: Mr Sauad Tabban (Universidad de los Andes)

Abstract-Tabban.pdf

Slides-Tabban.pdf

15:00 → 18:00 Discussion session

18:00 → 19:00 Lunes 22 - 4: Breve introducción a la teoría del índice

Moderador: Leonardo Cano (Universidad Nacional)

Abstract-Cano.pdf

martes, 23 julio

9:00 → 10:30 Martes 23 - 1: On non-commutative AdS/CFT correspondence

Moderador: Mr Aleksandr Pinzul (Universidade de Brasília)

Abstract-Pinzul.pdf

10:30 → 11:00 Coffee break

11:00 → 12:00 Martes 23 - 2: On Krein C*-modules over Krein C*-algebras

Moderador: Mr Danilo Polo Ojito (Universidad del Atlántico)

Abstract-Polo.pdf

12:00 → 14:00 Lunch

14:00 → 14:30 Martes 23 - 3: Majorana Fermions and Orthogonal Complex Structures

Moderador: Mr Sebastian Calderon (Universidad de los Andes)

Abstract-Calderon.pdf

Slides-Calderon.pdf

14:30 → 17:30 Discussion session

18:00 → 18:30 Martes 23 - 4: Notions of spectral action

Moderador: Juan Daniel Lopez Castaño (Universidad Nacional)

Abstract-Lopez-Castano.pdf

18:30 → 19:00 Martes 23 - 5: Edge states and self-adjoint extensions in a one dimensional model

Moderador: Juan Felipe Lopez (Universidad de los Andes)

Abstract-Lopez-JF.pdf

miércoles, 24 julio

9:00 → 10:30 Miercoles 24 - 1: Las partículas elementales según Wigner: aspectos clásicos y cuánticos

Moderador: Mr Joseph Várilly (Universidad de Costa Rica)

Abstract-Varilly.pdf

Lectures-Várilly-final.pdf

10:30 → 11:00 Coffee break

11:00 → 12:00 Miercoles 24 - 2: Quantization, Symplectic Groupoids and Physics

Moderador: Mr Daniel Bermudez (Universidad de los Andes)

Abstract-Bermudez.pdf

12:00 → 14:00 Lunch

14:00 → 14:30 Miercoles 24 - 3: Dirac-Jacobi structures and their symmetries

Moderador: Mr Yamid Yela (Universidad Nacional)

Abstract-Yela.pdf

14:30 → 15:00 Miercoles 24 - 4: Matching Between Supersymmetric Effective Theory of Inflation and Pure de Sitter SUGRA

Moderador: Mr Federico Serrano (Universidad Nacional)

Abstract-Serrano.pdf

15:00 → 18:00 Discussion session

jueves, 25 julio

9:00 → 10:30 Jueves 25 - 1: Geometry of the Poincaré Half -Space associated to a C*-Algebra

Moderador: Mr Làzaro Recht (IAM)

Abstract-Recht_25.pdf

10:30 → 11:00 Coffee break

11:00 → 12:00 Jueves 25 - 2: Topological index for fermion systems in disordered media

Moderador: Javier Buitrago Aza (Universidad de los Andes)

Abstract-Buitrago.pdf

12:00 → 14:00 Lunch

14:00 → 14:30 Jueves 25 - 3: Geometric phase for the Ising XY model at finite temperature

Moderador: Mr Ling Sequera (Universidad de los Andes)

Abstract-Sequera.pdf

14:30 → 15:00 Jueves 25 - 4: Ecuación del calor y funciones de Morse minimales

Moderador: Paulina Hoyos (Universidad Nacional - Medellin)

Abstract-Hoyos.pdf

15:00 → 18:00 Discussion session

18:00 → 18:30 Jueves 25 - 5: From line bundles to gerbes

Moderador: Juan Sebastian Numpaque (Universidad de los Andes)

PropuestaCharlaSRI2019Numpaque.pdf

18:30 → 19:00 Jueves 25 - 6: A Mathematical Interpretation of Feynman Diagrams and Dimensional Regularization via Hopf Algebras

Moderador: Mr Daniel Camilo Padella (Universidad de los Andes)

Abstract.pdf

viernes, 26 julio

9:00 → 10:30 Viernes 26 - 1: On non-commutative AdS/CFT correspondence

Moderador: Mr Aleksandr Pinzul (Universidad de Brasilia)

Abstract-Pinzul_26.pdf

10:30 → 11:00 Coffee break

11:00 → 12:00 Viernes 26 - 2: Topological order of the Ground state of Abelian n-lattice Gauge Theories

Moderador: Mr Javier Lorca Espiro (U frontera)

Abstract-Lorca.pdf

12:00 → 14:00 Lunch

14:00 → 14:30 Viernes 26 - 3: Termodinámica de Agujeros Negros de Kerr en la Aproximación Euclidiana de Gibbons-Hawking

Moderador: Mr Bedoya Serna (Juan Camilo)

Abstract-Serna.pdf

14:30 → 15:00 Viernes 26 - 4: Regular black holes with exotic topologies

Moderador: Gustavo Melgarejo (Universidad de los Andes)

Abstract-Melgarejo.pdf

15:00 → 18:00 Discussion session

sábado, 27 julio

9:00 → 10:30 Sabado 27 - 1: Las partículas elementales según Wigner: aspectos clásicos y cuánticos

Moderador: Mr Joseph Várilly (Universidad de Costa Rica)

Abstract-Varilly_27.pdf

Lectures-Várilly-final_27.pdf

10:30 → 11:00 Coffee break

11:00 → 12:00 Sabado 27 - 2: Las ecuaciones de Navier-Stokes

Moderador: Juan Carlos Cortissoz (Universidad de los Andes)

Abstract-Cortissoz.pdf

12:00 → 14:00 Lunch