AFSNITSNAVN
17
PUBLIKATIONSNAVN
QGM EVENTS 2015
Conferences, Masterclasses & workshops
CENTRE
Masterclass by Ivan Loseu
(Northeastern University)
Quantized
quiver March 2015
varieties Title : Quantized quiver varieties
Q G M
for
QUANTUM GEOMETRY of MODULI SPACES
D E P A R T M E N T of M A T H E M A T I C S , A A R H U S U N I V E R S I T Y , D E N M A R K
MASTER CLASS
D E P A R T M E N T of M A T H E M A T I C S , A A R H U S U N I V E R S I T Y , D E N M A R K
MASTER CLASS
9 13 November 2015
N I C O LA I
RESHETIKHIN
by
( U C B e r ke l e y )
23 27 March 2015
by
Q G M
C E N T R E for Q U A N T U M G E O M E T R Y of M O D U L I S PA C E S
Ivan Loseu
(Northeastern University)
Per t u r b at ive Q u a nt izat ion of Ga u ge
Th eor ies on M a n ifold s with B ou n d a r y
Course assistant:
José Simental-Rodríguez
Mariah Tauger/Courtesy of Northeastern University
:
For more information & registration:
qgm.au.dk
http://qgm.au.dk
Registration deadline 12 October 2015
Deadline for registration: 23 February 2015
Application deadline for financial
support (junior researchers): 2 February 2015
CENTRE
Q G M
for
QUANTUM GEOMETRY
of
MODULI SPACES
DEPARTMENT OF MATHEMATICS AARHUS UNIVERSITY DENMARK
Conference 27-31 July 2015
SPEAKERS
Dror-Bar Natan (Toronto)
Christian Blanchet (Paris)
Gaëtan Borot (Bonn)
Francesco Costantino (Toulouse)
Tudor Dimofte (Princeton)*
Nathan Dunfield (Illinois)
Jürgen Fuch (Karlstad)
Stavros Garoufalidis (Georgia)
Sergei Gukov (Caltech)
Kazuo Habiro (Kyoto)
Rinat Kashaev (Genève)
Bruno Martelli (Pisa)
Gregor Masbaum (Paris )
Jun Murakami (Waseda)
Satoshi Nawata (Bonn)
Ruth Lawrence (Jerusalem)
Thang Le (Georgia)
Christopher Schommer-Pries (Bonn)
Christoph Schweigert (Hamburg)
Roland van der Veen (Amsterdam)
Christian Zickert (Maryland)
ORGANIZERS
Jørgen Ellegaard Andersen (AU)
Niels Leth Gammelgaard (AU)
Steven Bradlow (UIUC)
Subhojoy Gupta (Caltech)
Masterclass/CMI Summer School
3-12 August 2015
D OMINIC J OYCE (O XFORD )
B Y
I NCLUDING
A PPLICATIONS O F M ODULI S PACES O F J- HOLOMORPHIC
C URVES T O S YMPLECTIC G EOMETRY
B Y
L INO A MORIM (O XFORD )
Organized in
partnership with the Clay
Mathematics Institute
Masterclass by Nicolai Reshetikhin
(UC Berkeley)
November 2015
Title : Perturbative Quantization
of Gauge Theories on Manifolds
with Boundary
Application deadline for financial support (junior researchers):
1 October 2015
Conference on
New Developments in TQFT
July 2015
... followed by
Masterclass/CMI Summer School
August 2015
Title: Derived Differential Geometry
Information & registration:
qgm.au.dk
Registration deadline 22 June 2015
Application deadline for financial support
(junior researchers): 8 June 2015
QGM Junior Retreat,July-Aug 2015
Workshop for PhD students and postdocs associated
with QGM
QGM Nielsen retreat, November 2015 at Sandbjerg
Estate. 32 participants hereof 17 eksternal associates.
Courses
PhD courses/graduate courses Bachelor & Undergraduate course/tutoring
Graduate mini-course, Oxford Univ. May-June 2015 (Roland Grinis) Lie Groups, Oxford University (Matthias Wink)
Master level course, Differential Geometry, Aarhus Univ. (Florian Linear Algebra (Edward Frenkel)
Schätz, J.E.Andersen, Niels L. Gammelgaard.) Abstract Algebra (Edward Frenkel)
Graduate lecture course, Complex manifolds and Kähler geometry, "Banach spaces" and "Geometry of surfaces"
Oxford Univ. (Dominic Joyce) (Roland Grinis)
Graduate lecture course, Introduction to Differential Geometry, Tutoring Mat-Lab sessions (Niccolo Poulsen, Rasmus Ville-
Oxford Univ. (Dominic Joyce) moes, Yang Huang, Leonid Chekhov)
PhD course, Topological recursion in matrix models and problems of PhD instructor classes (Simone Marzioni, Mette Bjerre, Ken-
algebraic geometry, Aarhus Univ. (Leonid Chekhov) neth Rasmussen, William Petersen, Tue Thuelsen Dahl)
Master level course, Gauge Theory and Characteristic Classes, Aar- Algebra (Henning Haahr Andersen)
hus Univ. (J.E.Andersen,, Qiongling Li, Yang Huang) Teaching Assistant for course Algebra -I ,Chennai Mathe-
C3.4 Algebraic Geometry (Alexander Ritter) matical Institute (Sarjick Bakshi)
B3.2 Geometry of Surfaces (Alexander Ritter) Tutorial in linear algebra, analysis, topology, algebra, num-
C3.4b Lie Groups (Alexander Ritter) ber theory, and measure theory, Oxford (Jakob Blaavand)
Tutor in Oxford University (Alexander Ritter)
Seminars Lecture course at 'IHES "Exponential integral", (Maxim
QGM presented 31 seminars by international guests in the year 2015. Kontsevich)
Linear Algebra at the Institut Universitaire de Technologie
(IUT), d'Orsay (Gabriele Rembado)
AFSNITSNAVN PUBLIKATIONSNAVN QGM HIGHLIGHTS 2015 1
Photo by Christine Dilling Sandbjerg Estate, Nov 2015 CONTENT Message from the Director ........................................................................................................... 3 About QGM.............................................................................................
AFSNITSNAVN 3 PUBLIKATIONSNAVN Message from the Director Photo: AU Communication By Jørgen Ellegaard Andersen 2015 was a very productive year for QGM in many Very talented mathematicians from all over the world ways. QGM researchers and close international col- was present at Aarhus University durin
CENTRE FOR QUANTUM GEOMETRY OF MODULISPACES (QGM) 4 PUBLIKATIONSNAVN AFSNITSNAVN QGM was established in 2009 as a Center of Ex- Mission statement cellence funded by the Danish National Research - To contribute to defining quantum field theory as a Foundation. The research objective is to address fun
AFSNITSNAVN PUBLIKATIONSNAVN 5 HELLOS ... QGM continues to be an attractive workplace for both national and international researchers. Aside from the permanent profes- sors, the Centre hosts a population of 7-8 postdocs and around 15 PhD students at any one time. Qiongling Li Alessandro Malusà Postd
6 = i k πpj 2 e p cos k k p=0 πi SCIENTIFIC BREAKTHROUGH PUBLIKATIONSNAVN AFSNITSNAVN 2 ρ k,1 (S)(ẽ j ) = k k1 sin p=1 πpj ẽ p k 2 ρ k,0 (T )(e j ) = e πi/4 e 2k j e j , πi 2 ρ k,1 (T )(ẽ j ) = e πi/4 e 2k j ẽ j . 2 2 2πk(bb)y Isomorphisms between the combinatorial of Complex Chern-Simons t
AFSNITSNAVN 7 PUBLIKATIONSNAVN With Soibelman, Maxim Kontsevich established an algebraic wall-crossing struc- ture (applicable e.g. to cluster algebras). Kontsevich further found a resurgence structure in the path integral for the free particle on the sphere. Together with F. Haiden, L. Katzarkov an
8 PUBLIKATIONSNAVN AFSNITSNAVN Locality of Gravitational Systems from Entangle- ment of Conformal Field Theories Topological recursion for Gaussian means and cohomological field theories One of Hirosi Ooguris current J.E. Andersen & Leonid Chekhov proved combinato- projects is to derive robust pre-
PHD RESEARCH PROJECTS PUBLIKATIONSNAVN 9 Construction of Modular Functors from Modular Tensor Categories Willam Petersen adapted, in joint 1 6 k 1 6 1 6 1 6 1 6 πi 2 πpj 2 e p ρ k,0 (T )(e j ) = e πi/4 e 2k j e j , ρ k,0 (S)(e j ) = i cos construction of modular functors k k p=0 from modular ten
10 AWARDS 2015 PUBLIKATIONSNAVN AFSNITSNAVN Maxim Kontsevich, Docteur Honoris Causa de l'Universite de Vienne, Austria Maxim Kontsevich, Member of the Selection Committee for the 2015 Breakthrough Prize in Fundamental Physics and the New Horizons in Physics Prize Edward Frenkel, The Euler Book Prize
INTERDISCIPLINARY COLLABORATION WITH iNANO AFSNITSNAVN PUBLIKATIONSNAVN Center leader Jørgen Ellegaard Andersen joined the A molecular biological system comprises the building Modelling and the Medicine Group at iNANO, Aarhus blocks of all living systems. A description of the struc- University in Ma
12 CONFERENCE ON NEW DEVELOPMENTS IN TQFT PUBLIKATIONSNAVN AFSNITSNAVN The historical background for the conference New developments in TQFT is the seminal work of Vaughan Jones and Edward Witten. First Jones defined his knot polynomial based on his tower construction in von Neumann algebras in the
AFSNITSNAVN PUBLIKATIONSNAVN 13 In total 59 participants joined the conference New developments in TQFT SPEAKERS Dror Bar-Natan (University of Toronto) Christian Blanchet (Institut de Mathématiques de Jussieu, U. Paris Diderot) Gaëtan Borot (MPI, Bonn) Steven Bradlow (Univ. of Illinois at Urbana-Cha
14 RESEARCH REPORTS PUBLIKATIONSNAVN By Leonid Chekhov Visiting prof. at QGM In collaboration with Jørgen Andersen, Bob Penner, and Paul Norbury (Melbourne University), we have applied the technique of topological recursion developed in 20042006 by Bertrand Eynard, Nicolas Orantin and myself to calc
AFSNITSNAVN By Yang Huang Postdoc at QGM PUBLIKATIONSNAVN 15 In 2015 Yang Huang constructed, in a joint work in progress with Prof. K. Honda, a contact Morse function in the critical level, which may play a fundamental role in the intrinsic understanding of contact mani- folds in any dimension. Anot
16 PUBLIKATIONSNAVN AFSNITSNAVN PHD PROFILE By Simone Marzioni Simone Marzioni is presently working on his PhD thesis. He expects to finish 31 July 2016. I started my PhD program at the QGM in 2013 as a student of Jørgen Ellegaard Andersen, after a master degree at the University of Bologna. My prev
AFSNITSNAVN 17 PUBLIKATIONSNAVN QGM EVENTS 2015 Conferences, Masterclasses & workshops CENTRE Masterclass by Ivan Loseu (Northeastern University) Quantized quiver March 2015 varieties Title : Quantized quiver varieties Q G M for QUANTUM GEOMETRY of MODULI SPACES D E P A R T M E N T of M A T H E M A
18 PUBLIKATIONSNAVN AFSNITSNAVN PUBLICATIONS 2015 Journal articles Abad, C.A. & Schätz, F., Higher holonomies: comparing two constructions, Differential Geometry and its Applications, vol. 40, 1442 Alexeev, N.V., Andersen, J.E., Penner, R.C. & Zograf P., Enumeration of chord diagrams on many interva
AFSNITSNAVN PUBLIKATIONSNAVN 19 Mandel, T., Tropical theta functions and log CalabiYau surfaces, Paper accepted for publication in Selecta Mathematica Martens, J., Thaddeus, M., Compactifications of reductive groups as moduli stacks of bundles, Compositio Mathematica, vol. 152, no. 1, 62- 98 Mayer,
Center for Quantum Geometry of Moduli Spaces (QGM) Aarhus University Ny Munkegade 118, bldg. 1530 DK-8000 Aarhus C Denmark Phone: +45 8715 5141 Fax: +45 8613 1769 http://qgm.au.dk Center of Excellence funded by the Danish National Research Foundation