Teaching
Research
Publications
,
Notes
,
Talks
,
Events
,
Awards
,
Supervision activities
Vita
Damien Calaque
Professor at
IMAG
(
Univ Montpellier
)
PI of ERC Project
Derived Symplectic Geometry and Application
Email: damien.calaque[at]umontpellier.fr
Publications
Work in progress
Factorization homology as a fully extended TFT (with Claudia Scheimbauer)
Factorization algebras arising from lattice models (with Giovanni Felder)
E_n-algebras and vertex models (with Damien Lejay)
Deformation quantization with branes and MZVs (with Clément Dupont, Eric Panzer and Brent Pym)
Preprints
[5] Shifted cotangent bundles, symplectic groupoids and deformation to the normal cone (with Pavel Safronov),
Freely available at
arXiv:2407.08622
[4] Associators from an operadic point of view (with Victor Roca i Lucio),
Freely available at
arXiv:2402.05539
[3] Wild orbits and generalised singularity modules: stratifications and quantisation (with Giovanni Felder, Gabriele Rembado and Richard Wentworth),
Freely available at
arXiv:2402.03278
[2] Lie algebroids are curved Lie algebras (with Ricardo Campos and Joost Nuiten),
Freely available at
arXiv:2103.10728
[1] An operadic approach to cyclotomic associators (with Martin Gonzalez),
Freely available at
arXiv:2004.00572
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
[37] The AKSZ construction in derived algebraic geometry as an extended topological field theory (with Rune Haugseng and Claudia Scheimbauer),
To appear in Memoirs of the AMS.
Freely available at
arXiv:2108.02473
[36] Relative critical loci and quiver moduli (with Tristan Bozec and Sarah Scherotzke),
Annales Scientifiques de l'ENS
57 (2024), no. 2, 553-614.
Freely available at
arXiv:2006.01069
[35] Ellipsitomic associators (with Martin Gonzalez),
Mémoires de la SMF
179 (2023), 96 pages.
Freely available at
arXiv:2004.07271
[34] Calabi-Yau structures on (quasi-)bisymplectic algebras (with Tristan Bozec and Sarah Scherotzke),
Forum of Mathematics, Sigma
11 (2023), article 87, 32 pages.
Freely available at
arXiv:2203.14382
[33] Calabi-Yau structures for multiplicative preprojective algebras (with Tristan Bozec and Sarah Scherotzke),
Journal of Noncommutative Geometry
17 (2023), no. 3, 783-810.
Freely available at
arXiv:2102.12336
[32] Shifted symplectic reduction of derived critical loci (with Mathieu Anel),
Advances in Theoretical and Mathematical Physics
26 (2022), no. 6, 1543-1583.
Freely available at
arXiv:2106.06625
[31] Moduli problems for operadic algebras (with Ricardo Campos and Joost Nuiten),
Journal of the LMS
106 (2022), no. 4, 3450-3544.
Freely available at
arXiv:1912.13495
, or
on the publisher's site
[30] Formal moduli problems and formal derived stacks (with Julien Grivaux),
In
Derived Algebraic Geometry
(B. Toën & M. Vaquié Eds.), Panoramas et Synthèses 55 (2021), 85-146.
Freely available at
arXiv:1802.09556
[29] Derived stacks in symplectic geometry,
In
New Spaces in Physics: Formal and Conceptual Reflections
(M. Anel & G. Catren Eds.), Cambridge University Press (2021), 155-201.
Freely available at
arXiv:1802.09643
[28] On the universal ellipsitomic KZB connection (with Martin Gonzalez),
Selecta Mathematica
26 (2020), no. 5, article 73, 59 pages.
Freely available at
arXiv:1908.03887
, or as
view-only published version
[27] Shifted cotangent stacks are shifted symplectic,
Annales de la faculté des sciences de Toulouse
28 (2019), no. 1, 67-90.
Freely available at
arxiv:1612.08101
[26] A note on the (∞,n)-category of cobordisms (with Claudia Scheimbauer),
Algebraic and Geometric Topology
19 (2019), no. 2, 533-655.
Freely available at
arXiv:1509.08906
[25] The Ext algebra of a quantized cycle (with Julien Grivaux),
Journal de l'École polytechnique - Mathématiques
6 (2019), 31-77.
Freely available at
arXiv:1711.09402
[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 Naef),
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
[5] Derived symplectic geometry, in
Encyclopedia of Mathematical Physics 2nd edition
,
Freely available at
arXiv:2308.04210
[4] Hochschild cohomology of smooth algebraic varieties, in
Hochschild Cohomology in Algebra, Geometry and Topology
,
Oberwolfach reports 13 (2016), no. 1, 453-455.
Freely available on my
lecture notes page
[3] 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
[2]
Contribution to
Formality of cyclic cochains
by Thomas Willwacher
,
Advances in Mathematics
231 (2012), no. 2, 624-650.
Freely available at
arXiv:0806.4095
[1] From Lie theory to algebraic geometry and back, in
Interactions between Algebraic Geometry and Noncommutative Algebra
,
Oberwolfach reports 7 (2010), no. 2.
Freely available on my
lecture notes page
Not intended to be published (use with care)
[2]
Around Hochschild (co)homology
Habilitation Thesis
[1]
Formality theorems for Lie algebroids and quantization of dynamical r-matrices
PhD Thesis
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