Summer School: Algebraic Structures in Quantum Field Theory

August 26-30, 2019
Hamburg

Over the last decades, advances in higher category theory have led to a comprehensive framework of "higher-dimensional" algebraic structures, ready to be utilized in mathematial and physical applications. This summer school, aimed at PhD students and postdocs, will provide an introduction to some of the most recent developments related to E_n-algebras, factorization algebras, and their integration theory, with a view towards the fruitful interaction with quantum field theory.

The school poster is available here .

participants

List of speakers and topics:

Owen Gwilliam (University of Massachusetts, Amherst)
Holomorphic field theories and their symmetries

David Jordan (University of Edinburgh)
A unified quantization of character varieties from factorization homology

Mikhail Kapranov (Kavli IPMU, University of Tokyo)
Factorization algebras in algebraic geometry

Claudia Scheimbauer (TU München, NTNU Trondheim)
E_n-algebras in mathematical physics

Masahito Yamazaki (Kavli IPMU, University of Tokyo)
Integrability and perturbative quantum field theory

Here is a list with titles and abstracts .

Schedule:

The schedule is as follows. Here is the schedule as pdf .

	Mon	Tue	Wed	Thu	Fri
9:15-10:45	Registration starts 10:00	Gwilliam	Kapranov	Kapranov	Scheimbauer
10:45-11:15	Registration starts 10:00	coffee	coffee	coffee	coffee
11:15-12:45	Kapranov	Yamazaki	Jordan	Scheimbauer	Gwilliam
12:45-14:15	lunch	lunch	free afternoon and school dinner	lunch	lunch
14:15-15:00	Yamazaki	Yamazaki		Jordan	Jordan
15:00-15:30	coffee	coffee		coffee	coffee
15:30-17:00	Gwilliam	Scheimbauer		Yamazaki	Jordan

Registration:

Please register here. Registration is now open until 11th August 2019. The registration fee is 30 euros, payable in cash on arrival. There will be a social dinner on Wednesday evening. Please indicate on the registration form if you would like to attend the dinner. The dinner will cost an additional 20 euros, payable together with the registration fee.

Venue:

The summer school will take place in lecture hall H2 of the Department of Mathematics, Bundesstr. 55, of the University of Hamburg. Here is a map. The closest metro station is "Schlump" on the red line U2 and the yellow line U3. The train station "Sternschanze" (train lines S11, S21 and S31) is also in walking distance. Here is the website for public transport in Hamburg.

Accommodation:

Participants of the summer school are kindly asked to arrange their accommodation on their own. Here is a list of some hotels.

Organizers:

T. Dyckerhoff, S. Lentner, I. Runkel, C. Schweigert

If you have any questions or special needs, please feel free to contact the organizers at asqft19.math [at] lists [dot] uni-hamburg [dot] de.