Teaching
Research
Publications
,
Notes
,
Talks
,
Events
,
Awards
,
Students
Vita
Damien Calaque
Professeur à l'Université de Montpellier - Membre de l'Institut Universitaire de France
IMAG - Case courrier 051 - 34095 Montpellier cedex 5 - France
Mel : damien.calaque[at]umontpellier.fr
Tel : +33 4 67 14 38 41
Publications
Work in progress
Factorization homology as a fully extended TFT (with Claudia Scheimbauer)
Twisted elliptic KZB equations and elliptic MZVs at torsion points (with Martin Gonzales)
Factorization algebras arising from lattice models (with Giovanni Felder)
Asymptotically locally constant factorization algebras (with Damien Lejay)
Shifted symplectic groupoids
Lie theory and formal neighborhoods (with Julien Grivaux)
Preprints
[1] A note on the $(\infty,n)$-category of cobordisms (with Claudia Scheimbauer),
Freely available at
arXiv:1509.08906
Books
[1] Lectures on Duflo isomorphisms in Lie algebra and complex geometry (with Carlo A. Rossi),
EMS Series of Lectures in Mathematics
14 (2011), EMS Publishing House
Preliminary version freely available on my
lecture notes page
Articles
[25] Shifted cotangent stacks are shifted symplectic,
to appear in Annales de la Faculté des Sciences de Toulouse (2017).
Freely available at
arxiv:1612.08101
[24] Shifted Poisson structures and Deformation Quantization (with Tony Pantev, Bertrand Toën, Michel Vaquié and Gabriele Vezzosi),
Journal of Topology
10 (2017), no. 2, 483-584.
Freely available at
arXiv:1506.03699
[23] Lagrangian structures on mapping stacks and semi-classical TFTs,
Stacks and Categories in Geometry, Topology, and Algebra
, Contemporary Mathematics 643 (2015).
Freely available at
arXiv:1306.3235
[22] A trace formula for the quantization of coadjoint orbits (with Florian Näf),
International Mathematical Research Notices
2015 (2015).
Freely available at
arXiv:1403.6864
[21] Triviality of the higher formality theorem (with Thomas Willwacher),
Proceedings of the AMS
(2015).
Freely available at
arXiv:1310.4605
[20] Three lectures on derived symplectic geometry and topological field theories,
Indagationes Mathematicae
25 (2014), no. 5, 926-947,
Poisson 2012: Poisson Geometry in Mathematics and Physics
.
Freely available on my
lecture notes page
[19] On the Lie algebroid of a derived self-intersection (with Andrei Caldararu and Junwu Tu),
Advances in Mathematics
262 (2014), 751-783.
Freely available at
arXiv:1306.5260
[18] A PBW theorem for inclusions of (sheaves of) Lie algebroids,
Rendiconti del Seminario Matematico della Università di Padova
131 (2014), 23-47.
Freely available at
arXiv:1205.3214
[17] PBW for an inclusion of Lie algebras (with Andrei Caldararu and Junwu Tu),
Journal of Algebra
378 (2013), 64-79.
Freely available at
arXiv:1010.0985
[16] Caldararu's conjecture and Tsygan's formality (with Carlo A. Rossi and Michel Van den Bergh),
Annals of Mathematics
176 (2012), no. 2, 865-923.
Freely available at
arXiv:0904.4890
[15] Two interacting Hopf algebras of trees (with Kurusch Ebrahimi-Fard and Dominique Manchon),
Advances in Applied Mathematics
47 (2011), no. 2, 282-308.
Freely available at
arXiv:0806.2238
[14] Deformation quantization with generators and relations (with Giovanni Felder and Carlo A. Rossi),
Journal of Algebra
337 (2011), no. 1, 1-12.
Freely available at
arXiv:0911.4377
[13] Weak quantization of Poisson structures (with Gilles Halbout),
Journal of Geometry and Physics
61 (2011), no. 8, 1401-1414.
Freely available at
arXiv:0707.1978
[12] Compatibility with cap-products in Tsygan's formality and homological Duflo isomorphism (with Carlo A. Rossi),
Letters in Mathematical Physics
95 (2011), no. 2, 135-209.
Freely available at
arXiv:0805.3444
[11] Bimodules and branes in deformation quantization (with Giovanni Felder, Andrea Ferrario and Carlo A. Rossi),
Compositio Mathematica
147 (2011), no. 1, 105-160.
Freely available at
arXiv:0908.2299
[10] Hochschild (co)homology for Lie algebroids (with Carlo A. Rossi and Michel Van den Bergh),
International Mathematical Research Notices
2010 (2010), no. 21, 4098-4136.
Freely available at
arXiv:0908.2630
[09] Hochschild cohomology and Atiyah classes (with Michel Van den Bergh),
Advances in Mathematics
224 (2010), no. 5, 1839-1889.
Freely available at
arXiv:0708.2725
[08] Global formality at the $G_\infty$-level (with Michel Van den Bergh),
Moscow Mathematical Journal
10 (2010), no. 1, 31-64.
Freely available at
arXiv:0710.4510
[07] Universal KZB equations: the elliptic case (with Benjamin Enriquez and Pavel Etingof),
Algebra, Arithmetic and Geometry Vol I: in honor of Yu. I. Manin
,
Progress in Mathematics
269 (2010), 165-266.
Freely available at
arXiv:math/0702670
[06] Lectures on tensor categories (with Pavel Etingof);
IRMA Lectures in Mathematics and Theoretical Physics
12 (2008), 1-38.
Freely available at
arXiv:math/0401246
[05] Shoikhet's conjecture and Duflo isomorphism on (co)invariants (with Carlo A. Rossi),
SIGMA
4 (2008), 060, 17 pages,
contribution to the
Special Issue on Deformation Quantization
.
Freely available at
arXiv:0805.2409
[04] Quantization of symplectic dynamical r-matrices and the quantum composition formula (with Anton Alekseev),
Communications in Mathematical Physics
273 (2007), no. 1, 119-136.
Freely available at
arXiv:math/0606498
[03] Formality theorems for Hochschild chains in the Lie algebroid setting (with Vasiliy Dolgushev and Gilles Halbout),
Journal fur die reine und angewandte Mathematik
612 (2007), 81-127.
Freely available at
arXiv:math/0504372
[02] Quantization of formal classical dynamical r-matrices: the reductive case,
Advances in Mathematics
204 (2006), no. 1, 84-100
Freely available at
arXiv:math/0412042
[01] Formality for Lie algebroids,
Communications in Mathematical Physics
257 (2005), no. 3, 563-578
Freely available at
arXiv:math/0404265
Minor contributions
[2] A Derived and Homotopical View on Field Theories, in
Mathematical Aspects of Quantum Field Theories
(Damien Calaque and Thomas Strobl Eds),
Mathematical Physics Studies (2015), 1-14.
Available
here
[1]
Contribution to
Formality of cyclic cochains
by Thomas Willwacher
,
Advances in Mathematics
231 (2012), no. 2, 624-650.
Freely available at
arXiv:0806.4095
Not intended to be published
[1]
Around Hochschild (co)homology
(Habilitation Thesis).
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