Address: Institute
of Mathematics of Czech Academy of Sciences
Zitna 25
11567 Praha 1
Czech Republic
Email: hvle AT
math.cas.cz
Tel :
+420-222090779
Fax :
+420-222090701
My CV
My publication
list at
MatSciNet at
arXiv arXiv
Lecture course (19aNMAG469p1, Fall term 2019-2020)
- Mathematical foundations of machine learning every Friday 13.30-15.00 at the seminar room Konirna, front building of IM CAS, Zitna 25, Praha 1.
Seminars
- Prague-Hradec Kralove seminar Cohomology in algebra, geometry, physics and statistics, usually on
Wednesday 11.30-12.30 at the seminar room Konirna, front building of IM CAS, Zitna 25, Praha 1. You can subscribe/unsubscribe the mailing list
- Ongoing seminars at IM CAS, Zitna 25, Praha 1.
- Book (with Nihat Ay, Juergen Jost and Lorenz Schwachhoefer)
INFORMATION GEOMETRY Springer 2017, Ergebnisse der Mathematik und ihrer Grenzgebiete
Recent preprints
- (with Jürgen Jost, Duc Hoang Luu and Tat Dat Tran) Probabilistic mappings and Bayesian nonparametrics, arXiv:1905.11448.
- (with Domenico Fiorenza, Kotaro Kawai and Lorenz Schwachhöfer) Almost formality of manifolds of low dimension, arXiv:1902.08406.
- (with Kotaro Kawai and Lorenz Schwachhöfer) Fr\"olicher-Nijenhuis backet on manifolds with special holonomy,
arXiv:1810.12714, To appear in "Lectures and Surveys on G2 manifolds and related topics", Fields Institute Communications.
- (with Domenico Fiorenza, Lorenz Schwachhöfer, and Luca Vitagliano) Strongly homtopy Lie algebras
and deformations of calibrated submanifolds, arXiv:1804.05732.
- (with Jean-Francois Barraud, Agnès Gadbled and Roman Golovko) A Novikov fundamental group, arXiv:1710.10353, accepted for IMRN.
- (with Lorenz Schwachhöfer, Nihat Ay and Jürgen Jost) Congruent families of tensors, arXiv:1705.11014,
DOI: 10.1007/978-3-319-97798-0_6, in book: Information Geometry and Its Applications, Springer Proceedings in Mathematics and Statistics, v. 252, 2018.
- (with Jürgen Jost and Lorenz Schwachhöfer) Cram\'er-Rao inequality on singular statistical models I, arXiv:1703.09403 .
- (with Kotaro Kawai and Lorenz Schwachhöfer) Fr\"olicher-Nijenhuis cohomology on $G_2$ and Spin(7)-manifolds,
arXiv:1703.05133, International Journal of Mathematics, vol. 29. N12 (2018), 1850075 (36 pages).
- (with Kotaro Kawai and Lorenz Schwachhöfer) Frölicher-Nijenhuis bracket and geometry of G2-and Spin(7)-manifolds,
arxiv.org/abs/1605.01508, AMPA 197(2018), 411-432.
- (with Jiri Vanzura) McLean's second variation formula revisited, Journal of Geometry and Physics,
Volume 113, March 2017, Pages 188–196, arXiv:1605.01267.arXiifferential Geometry (math.DG); Mathematical Physics (math-p1, arXiv:1605.0
- (with Alfonso Tortorella and Luca Vitagliano) Jacobi bundles and the BFV-complex, arXiv:1601.04540
Journal of Geometry and Physics, 121 (2017), 347-377 .
- (with Nihat Ay, Jürgen Jost, Lorenz Schwachhöfer) Parametrized measure models arXiv:1510.07305
Bernoulli vol. 24 Nr 3 (2018), 1692-1725.
- Corrigendum to “Compact symplectic manifolds of low cohomogeneity” [J. Geom. Phys. 25 (1998) 205–226] .
Journal of Geometry and PhysicsVolume 96, October 2015, 212–215, arxiv.1504.05142.pdf .
- (with Yong-Geun Oh, Alfonso Tortorella and Luca Vitagliano) Deformations of coisotropic submanifolds in abstract Jacobi manifolds,
Journal of Symplectic Geometry, Volume 16, Number 4, 1051–1116, 2018, arXiv:1410.8446.pdf.
- (with Lorenz Schwachhöfer) Lagrangian submanifolds in strictly nearly Kaehler 6-manifolds,
Osaka J. Math.Volume 56, Number 3 (2019), 601-629, arXiv:1408.6433v3.pdf,
- Application of integral geometry to minimal surfaces (corrected version) http://arxiv.org/pdf/1401.5227v1.pdf
- The uniqueness of the Fisher metric as information metric http://arxiv.org/pdf/1306.1465.pdf
Annals of the Institute of Statistical Mathematics, 69(2017), 879-896.
- Lower bounds for the circuit size of partially homogeneous polynomials
http://arxiv.org/pdf/1302.3360.pdf, ECCC-TR14-139 (2014), Fundamental and Applied Mathematics, 20(2015), 153-179
(English translation in Journal of Mathematical Sciences, Vol. 225, No. 4, September, 2017, p. 639-657.)
- (with Yong-Geun Oh) Deformations of coisotropic submanifolds in locally conformal symplectic manifolds
http://arxiv.org/pdf/1208.3590.pdf, Asian Journal of Math., Vol. 20(2016), No. 3, pp. 555–598.
- (with Nihat Ay, Jürgen Jost, Lorenz Schwachhöfer) Information geometry and sufficient statistics, Probability Theory Relat. Fields,
162(2015), 327-364 , http://arxiv.org/pdf/1207.6736.pdf
- (with Jiri Vanzura) Cohomology theories on locally conformal symplectic manifolds, http://arxiv.org/pdf/1111.3841.pdf
(Asian J. of Math, Volume 19 (2015),Number 1, p. 45 -82)
- Geometric structures associated with a simple Cartan 3-form http://arxiv.org/pdf/1103.1201.pdf
Journal Geom. Phys. 70(2013), 205-223.
- (with Petr Somberg, Jiri Vanzura) Poisson smooth structures on stratified symplectic spaces,
(chapter 7 in the Springer Proceedings in Mathematics & Statistics Volume 98, 2015, pp 181-204) http://arxiv.org/pdf/1011.0462.pdf
- Constructing elusive functions with help of evaluation mappings http://arxiv.org/pdf/1011.2887.pdf , ECCC, TR14-140 (2014)
- (with Petr Somberg, Jiri Vanzura) Smooth structures on pseudomanifolds with isolated conical singularities
(Acta Math. Vietnam. DOI 10.1007/s40306-013-0009-0) http://arxiv.org/pdf/1006.5707.pdf
My current and past collaborators
- Nihat Ay, Jean-Francois Barraud, Domenico Fiorenza, Anatoly Fomenko, Agnes Gadbled,
Roman Golovko, Alexander Ivanov, Jürgen Jost, Kotaro Kawai, Duc Hoang Luu,
Mobeen Munir, Yong-Geun Oh, Kaoru Ono, Martin Panak, Lorenz Schwachhöfer,
Petr Somberg, Tat Dat Tran, Alfonso Tortorella, Alexey Tuzhilin, Jiri Vanzura, Luca Vitagliano,
