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Geometry, Quantum Topology and Asymptotics 2018

Summer school at the Confucius Institute, Geneva (2-6 July) followed by conference at the Sandbjerg Estate, Denmark (9-13 July) 2018


Date Mon 02 Jul Fri 13 Jul
Time 10:00    16:00
Location Geneva, Switzerland and Sønderborg, Denmark

PROGRAM for the Summer School

PROGRAM for the conference

About the event
The school and conference will focus on interactions between geometric topology and quantum low-dimensional topology through the construction and study of asymptotic (quasi-classical) properties of exact partition functions of quantum Chern-Simons theory with analytically continued (non-compact) gauge groups, their interpretations within supersymmetric Yang-Mills theory and topological string theory. In recent years, these areas were shown to overlap in several subjects, including hyperbolic geometry of 3-manifolds and knot theory. In particular, it has been understood the importance of Chern-Simons theory both for construction and classi fication of quantum invariants, and, in the context of 3-dimensional hyperbolic geometry, a special role of non-compact gauge groups has been elucidated. Several major conjectures in the fi eld, including the volume conjecture and the asymptotic expansion conjecture, have led to increased progress and activity. However, at the present time, the relationships between geometric and quantum topology remain peripheral for both directions and in no case systematic. 

The program is interdisciplinary in nature and is connected to a wide range of areas of mathematics and physics, including low-dimensional topology, geometry, representation theory, and mathematical physics. In particular, in the light of interpretations of Chern-Simons theory within supersymmetric Yang-Mills theory and topological string theory.

2-6 July 2018 (Confusius Institute, Geneva): The school part in Geneva (first week) addresses mainly PhD students and postdocs. The intention of the school is to supply young scientists and newcomers with the mathematical basics needed to profit from the scientific talks presented during the international conference part taking place in the second week.          

School speakers
Gaëtan Borot, MPIM, Bonn 
Babak Haghighat, Tsinghua University   Slides Lecture 1, Lecture 2, Lecture 3
Yang-Hui He, City, University of London slides: The Calabi-Yau Landscape
Du Pei, Aarhus University/Caltech 
Tian Yang, Texas A&M       

The Summer School will take place at the "Institut Confucius", Université de Genève 

9-13 July 2018 (Sandbjerg Estate, Sønderborg, Denmark: The conference part will take place at the Sandbjerg Estate in Sønderborg, Denmark.   

Conference speakers
Christian Blanchet, Institut de Mathématiques de Jussieu
Francesco Costantino, Toulouse
Renaud Detcherry, Michigan State University
Tudor Dimofte, UC Davis
Ben Aribi Fathi, University of Geneva  
Vladimir Fock, Université de Strasbourg
Azat Gainutdinov, Université de Tours
Yang-Hui He, City, University of London
David Jordan, University of Edinburgh 
Qingtao Chen, ETH Zürich
Siu Cheong Lau, Boston University  
Hai Lin, Tsinghua University 
Shahn Majid, Queen Mary
Alessandro Malusà, Aarhus University/University of Saskatchewan
Gregor Masbaum, Institut de Mathématiques de Jussieu
Bertrand Patureau-Mirand, Université de Bretagne-Sud
Du Pei, Aarhus University/Caltech
William Petersen, Aarhus University  
Ramanujan Santharoubane, University of Virginia
Hongbin Sun, Rutgers University      
Alexis Virelizier, Université de Lille  
Tian Yang, Texas A&M      

In addition to the lectures we allow short poster presentations prepared by the participants. If you would like to present a poster, please send an e-mail to qgm@au.dk.     

NOTE: The Sandbjerg Estate closes Friday 13 July, hence it is not possible to prolong the stay at the Estate.

Conference participants
Jørgen Ellegaard Andersen, QGM, Aarhus University
Christos Aravanis, University of Sheffield  
Giulio Belletti, Scuola Normale Superiore, Pisa
Virginie Bonnier, University of Geneva
Lucas Branco, MPIM, Bonn
Sungbong Chun, Caltech
Daniel Douglas, University of Southern California
Stavros Garoufalidis, Georgia Institute of Technology
Roberta Iseppi, QGM, Aarhus University 
Rinat Kashaev, University of Geneva
Julien Korinman, Universidade Federal de São Carlos (UFSCar)
Jan Christensen, QGM, Aarhus University
Pankaj Kumar, Moscow Institute of Physics and Technology
Majid Narimannejad, IPM-mathematics, Tehran
Yuta Nozaki, University of Tokyo
Natthawut Phanachet, Louisiana State University 
Andreas B. Skovbakke, QGM, Aarhus University
Yat-Hin Suen, The Chinese University of Hong Kong
Ying Hong Tham, Stony Brook  
Ka Ho Wong, The Chinese University

Important regarding transport to Sandbjerg Estate from Copenhagen (CPH)
The flight company “Alsie Express” is flying directly to Sønderborg from Copenhagen (CPH): http://alsieexpress.dk/en/ (45 min). This is the easiest way to get to Sandbjerg (12 km from Soenderborg Airport). We urge you to book this flight as soon as possible, as it is a domestic flight route with few seats. The alternative Airports (Billund (BLL) and Aarhus (AAR)) both have a transportation time to Sandbjerg of approx. 3 hours. 

See the travel planner for domestic travel in Denmark: https://www.rejseplanen.dk/ 

Organizing committee
Jørgen Ellegaard Andersen, Aarhus University  
Stavros Garoufalidis, Georgia Institute of Technology 
Rinat Kashaev, University of Geneva
Feng Luo, Rutgers University  
Roland van der Veen, Universiteit Leiden,    
Shing-Tung Yau, Harvard University