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, D., Momeni, A., Venkov, A. , Congruence properties of induced representations and their applications, St. Petersburg Mathemati-
cal Journal, vol. 26, no. 4, 593 - 606
Mirzakhani, M., Zograf, P. , Towards large genus asymptotics of intersection numbers on moduli spaces of curves, Geometric and Functio-
nal Analysis, Vol. 25, 12581289
Nakayama, Y. & Ooguri, H., Bulk locality and boundary creating operators
Journal of High Energy Physics, vol. 2015:114
Ooguri, H., Interview with Edward Witten
Notices Amer. Math. Soc., vol. 62, no. 5, 491506.
Papadopoulos, A. & Penner, R.C. , Hyperbolic metrics, measured foliations and pants decompositions for non-orientable surfaces, Asian
Journal of Mathematics (Article in Press)
Pedersen, D.H., Twisting functors for quantum group modules, Journal of Algebra, vol. 447, 580623
Penner, R.C., Moduli spaces and macromolecules, Paper accepted for publication in Bulletin of the American Mathematical Society
Popolitov, A., Shakirov, S., On Undulation Invariants of Plane Curves, Michigan Mathematical Journal, Volume 64, no. 1,
143-153.
Reshetikhin, N., Degenerate integrability of quantum spin Calogero-Moser systems, Accep. in Letters in Mathematical Physics
Reshetikhin, N., Stokman J., Vlaar, B., Boundary Quantum KnizhnikZamolodchikov Equations and Fusion, Annales Henri Poincaré, vol. 17,
no. 1, 137-177
Reshetikhin, N., Stokman, J., Vlaar, B., Boundary Quantum KnizhnikZamolodchikov Equations and Bethe Vectors Communications in Ma-
thematical Physics: vol 336, no. 2, 953-986
Reshetikhin, N., Vertman, B, Combinatorial Quantum Field Theory and Gluing Formula for Determinants, Letters in Mathematical Physics,
vol. 105, no. 3, 309 340
Ritter, A.F., Circle-actions, quantum cohomology, and the Fukaya category of Fano toric varieties, To appear in Geometry and Topology
Schrader, G., Integrable Systems from the Classical Reflection Equation, International Mathematics Research Notices, rnv 113
Shapiro, A., Poisson geometry of monic matrix polynomials, International Mathematics Research Notices, rnv 313
Zograf, P., Enumeration of Grothendieck's dessins and KP hierarchy, International Mathematics Research Notices, rnv077
Conference proceedings
Gupta., S., On the asymptotic behavior of complex earthquakes and Teichmüller disks, Conference proceeding published by Contemporary
Mathematics, American Mathematical Society, Publication Year 2015: Vol. 639 (ICTS Program Groups, Geometry and Dynamics, Dec 316,
2012,CEMS, Kumaun University, Almora, India
Books
Ooguri, H., World As Seen In The Language of Mathematics Gentosha, Paperback : 263 pages, Publisher: Gentosha (2015/3/18), Language:
Japanese, ISBN-10: 434402740X, ISBN-13: 978-4344027404
Theses
Jens Kristian Egsgaard,, Hitchin connections for genus 0 quantum representation
Tina Kanstrup, Demazure decent theory
Dennis H. Pedersen, Irreducible quantum group modules with finite dimensional weight spaces
Shamil Shakirov, Applications of Macdonald Ensembles
Tom Hawes, Non-Reductive Geometric Invariant Theory and Compactifications of Enveloped Quotients
Alberto Cazzaniga, Sheaf counting on commutative and non-commutative threefolds
Jakob Blaavand, The Dirac -- Higgs bundle
Preprints
In 2015 QGM and associates produced 55 preprints
QGM Highlights 2015, published Sept 2016
Centre for Quantum Geometry of Moduli Spaces (QGM)
Department of Mathematics, Aarhus University
Ny Munkegade 118, DK-8000 Aarhus C, Denmark
www.qgm.au.dk
Editors: Christine Dilling, Jane Jamshidi
and Jørgen Ellegaard Andersen, QGM
Design: AU Communication/QGM
Printed in Denmark by SUN-tryk A/S
Contact:
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