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 preprint
(with Domenico Fiorenza) Formally integrable complex structures on higher dimensional knot spaces, arXiv:1912.05175
- (with Jiri Vanzura) Classification of k-forms on R^n and the existence of associated geometry on manifolds, arXiv:1912.03338
- Diffeological statistical models, the Fisher metric and probabilistic mappings, arXiv:1912.02090,
Mathematics 2020, 8(2), 167, Special Issue Geometry and Topology in Statistics.
- (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, (accepted for Annali SNS),
- (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 arXiv:1605.01267, Journal of Geometry and Physics vol. 113, 2017, 188-196.Xiifferential 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 vol. 121, 2017, 347-377.iifferential Geometry (math.DG); Ma
- The Calabi invariant and the least number of periodic solutions of locally Hamiltonian equations arXiv:1511.00638
- (with Nihat Ay, Jürgen Jost, Lorenz Schwachhöfer) Parametrized measure models, arXiv:1510.07305
J. Bernoulli 24(2018), 1692-1725.
- Corrigendum to “Compact symplectic manifolds of low cohomogeneity” J. Geometry and Physics 25(1998), 205-206,
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) arXiv:1011.0462
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,
