Hông Vân



AddressInstitute 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 publication list at MatSciNet at arXiv arXiv



Lecture course (NMAG 469, Fall term 2017-2018)

- Mathematical foundations of machine learning


- Seminar on algebraic geometry Every Thursday at 17.30, K3 in Karlin

(Anybody interested is kindly requested to write either to Hong Van Le or to 

Petr Somberg, who organize the seminar.)

- Complexity seminar

Recent preprints

- (with Lorenz Schwachhöfer, Nihat Ay and Jürgen Jost) Congruent families of tensors, arXiv:1705.11014.

- (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:17.03.05133.

-(with Kotaro Kawai and Lorenz Schwachhöfer) Frölicher-Nijenhuis bracket and geometry of G2-and Spin(7)-manifolds, arXiv:1605.01508

- (with Jiri Vanzura) McLean's second variation formula revisited, Journal of Geometry and PhysicsVolume 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

- 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

(accepted for Bernoulli Journal)

- Corrigendum to “Compact symplectic manifolds of low cohomogeneity” [J. Geom. Phys. 25 (1998) 205–226]

Journal of Geometry and PhysicsVolume 96, October 2015, Pages 212–215 (see also arxiv.1504.05142.pdf)

- (with Yong-Geun Oh, Alfonso Tortorella and Luca Vitagliano) Deformations of coisotropic submanifolds in abstract Jacobi manifolds,

(accepted for Journal of Symplectic Geometry) arXiv:1410.8446.pdf

- (with Lorenz Schwachhöfer) Lagrangian submanifolds in strictly nearly Kaehler 6-manifolds 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, DOI 10.1007/s10463-016-0562-0

- 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

- (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,

http://link.springer.com/article/10.1007/s00440-014-0574-8 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. DOI: 10.1016/j.geomphys.2013.03.028)

- (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, Anatoly Fomenko, Alexander Ivanov, Juergen Jost, Kotaro Kawai, Mobeen Munir, Yong-Geun Oh,

Kaoru Ono, Martin Panak, Lorenz Schwachhoefer, Petr Somberg, Alfonso Tortorella, Alexey Tuzhilin, Jiri Vanzura,

Luca Vitagliano, Guofang Wang

Other links

- Tủ sách Sputnik