nLab Bruno Vallette

Bruno Valette is a mathematician at Univ. Paris 13 with main interests in operad theory, its generalizations and applications, including homotopy algebras and deformation theory.

• personal page

• inSpire page

• Wikipedia entry (fr)

• MathGenealogy page

Selected writings

On operads:

• Jean-Louis Loday, Bruno Vallette, Algebraic Operads, Grundlehren der mathematischen Wissenschaften 346, Springer (2012) [ISBN 978-3-642-30362-3, pdf&rbrack

On doubly monoidal categories of quadratic operads:

• Yuri Ivanovich Manin, Bruno Vallette, Monoidal structures on the categories of quadratic data, Documenta Mathematica 25 (2020) 1727-1786 [arXiv:1902.03778]

On Lie integration of $L_\infty$-algebras and its left adjoint (higher Lie theory), generalizing parts of the fundamental theorem of dg-algebraic rational homotopy theory beyond finite type:

• Daniel Robert-Nicoud, Bruno Vallette: Higher Lie theory [arXiv:2010.10485]

See also:

• Johan Leray, Bruno Vallette, Pre-Calabi–Yau algebras and homotopy double Poisson gebras, arXiv:2203.05062

• Imma Gálvez-Carrillo, Andy Tonks, Bruno Vallette, Homotopy Batalin-Vilkovisky algebras, J. Noncomm. Geom. 6:3, 539–602 arXiv:0907.2246 doi

• Bruno Vallette, Homotopy theory of homotopy algebras, Annales de l’Institut Fourier 70:2 (2020) 683–738 doi Zbl:1335.18001 arXiv:1411.5533

Related entries

• homotopy BV-algebra

category: people