Sergey Lysenko
Professeur
Institut Élie Cartan Nancy (Mathématiques)
Université de Lorraine
B.P. 239,
F-54506 Vandoeuvre-lès-Nancy Cedex,
France
Courrier électronique: Sergey.Lysenko [at] univ-lorraine.fr
Bureau: Institut Élie Cartan Nancy, bureau 311
Téléphone: +33 (0) 3 72 74 54 26
Fax: (Laboratoire) +33 (0)3 83 68 45 04
Thèmes de recherche :
programme de Langlands géométrique, aspects
géométriques de la théorie des
représentations
Mon CV (en français dernière modification 16 Oct. 2024)
ANR Variétés de caractères et généralisations (VARGEN) 2013-2018
Séminaire sur Langlands géométrique Nancy - Paris, automne 2010
Publications:
1. Note on factorization categories, arXiv:2404.11561
2. Semi-infinite parabolic IC-sheaf, arXiv:2310.0638
3. Fourier coefficients and a filtration on Shv(Bun_G), Advances of Mathematics 431 (2023), 109250, arXiv:2208.13500,
4. Towards canonical representations of finite Heisenberg groups, Bull. Soc. Math. France,
150 (3), (2022), 569-577, arXiv:2104.14890,
Towards canonical representations of finite Heisenberg groups
5. Geometric theta-lifting for unitary groups, preprint
6. (avec
D. Gaitsgory) Metaplectic Whittaker category and quantum groups : the "small" FLE, arXiv:1903.02279
7. Linear periods of the automorphic sheaves for GL_{2n}, IMRN, Vol. 2022, Issue 17 (2022), 12984–13053,
arXiv:1903.01268
8. On the automorphic sheaves for GSp_4, arXiv:1901.04447
9. (avec
D. Gaitsgory) Parameters and duality for the metaplectic geometric
Langlands theory, Selecta Math., (2018) Vol. 24, Issue 1,
227-301, arXiv:1608.00284, the latest version with some mistakes corrected is here
10. Twisted Whittaker models for metaplectic groups, GAFA 2017, vol. 27, Issue 2, 289-372, arXiv:1509.02433 with erratum added
11. Twisted geometric Satake equivalence: reductive case, arXiv:1411.6782
12. Geometric Eisenstein series: twisted setting, arXiv:1409.4071, J. Eur. Math. Soc. 19, 3179–3252 (copyright by the European Mathematical Society)
13. Twisted geometric Langlands correspondence for a torus, IMRN, 18, (2015), 8680-8723
arXiv:1312.4310,
14. Geometric Waldspurger periods II, Repres. theory, Vol. 24, 235–291 (2020), (preprint version arXiv:1308.6531)
15. Geometric Whittaker models and Eisenstein series for Mp_2, arXiv:1211.1596
16. (avec
V. Lafforgue) Geometrizing the minimal representations of even
orthogonal groups, Represent. Theory 17 (2013), 263-325 (preprint
version arXiv:1101.1408), Erratum
17. (avec A. Genestier) Geometric Weil representation in characteristic two, J. Inst. Math.
Jussieu, vol. 11/ Issue 02 (2012), p. 221-271 (preprint version arXiv:0906.0698)
18. (avec V.
Lafforgue) Compatibility of the Theta correspondence with the
Whittaker functors, Bull. Soc. math. France, 139 (1),
2011, p. 75-88 (preprint version arXiv:0902.0051 )
19. (avec M.
Finkelberg) Twisted geometric Satake equivalence, J. Inst. Math.
Jussieu, 9 (2010), no. 4, p. 719–739 (preprint version arXiv:0809.3738)
20. Geometric theta-lifting for the dual pair GSp_{2n}, GO_{2m}, arXiv:0802.0457
21. Geometric theta-lifting for the dual
pair SO_{2m}, Sp_{2n}, Annales ENS, 4e serie, t. 44 (2011), p. 427-493, erratum is math.RT/0701170)
22. (avec V. Lafforgue)
Geometric Weil representation: local field case, Compos. Math.
145 (2009), no. 1, 56--88 (prerint version arXiv:0705.4213 )
23. Geometric Waldspurger periods, Compos. Math. 144 (2008), no. 2, p. 377--438 (preprint version math.AG/0510110)
24. Geometric Bessel
models for GSp_4 and multiplicity one, Int. Math. Res. Not.
2005, no. 43, 2657--2694 (preprint version math.AG/0412150)
25. Moduli of
metaplectic bundles on curves and Theta-sheaves, Ann.
Scient. Ecole Norm. Sup., 4 série, t. 39 (2006), p.
415-466 (preprint version math.AG/0405021)
26. Whittaker and Bessel functors for GSp_4, Ann. Institut Fourier, t.56, No 5 (2006), 1505-1565 (preprint version math.AG/0310361)
27. On automorphic sheaves on Bun_G, math.RT/0211067
28. Global geometrised Rankin-Selberg method for GL(n), math.AG/0108208
29. Local geometrised Rankin-Selberg method for GL(n), Duke Math. J. 111 (2002), no. 3, 451--493
(preprint version math.AG/9905033)
30. Local geometrized
Rankin-Selberg method for GL(n) and its application,
C. R. Acad. Sci. Paris Sér. I Math. 329
(1999), no. 12, 1065--1070
31. On the moduli
of SL(2)-bundles with connections on P^1-{x_1, ... ,
x_4}. Internat. Math. Res. Notices 1997, no. 19,
983--999 (with D. Arinkin)
32. Invertible sheaves on
the moduli variety of SL(2)-bundles with a connection
on P^1. (Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn.
Tekh. Nauki 1997, no. 6, 7--11 (with D. Arinkin)
33. Isomorphisms between
moduli spaces of SL(2)-bundles with connections
on P^1-{x_1,..., x_4}. Math. Res. Lett. 4
(1997), no. 2-3, 181--190 (with D. Arinkin)
34. On the functional
equation f(p,(z))=g(q(z)), where f and g are meromorphic
functions, and p and q are "generalized" polynomials.
(Russian) Dopov. Nats. Akad. Nauk Ukr. Mat. Prirodozn. Tekh.
Nauki 1997, no. 7, 31--34.
35. On the functional
equation f(p(z))=g(q(z)), where p,q are "generalized"
polynomials and f,g are meromorphic functions. (Russian)
Izv. Ross. Akad. Nauk Ser. Mat. 60 (1996), no. 5,
89--110; english translation in Izv. Math. 60
(1996), no. 5, 963--984 (preprint version math.DS/9606217)
36. On the functional
equation f(p(z))=g(q(z)), where f and g are meromorphic
functions, and p and q are polynomials. (Russian) Mat. Fiz.
Anal. Geom. 2 (1995), no. 1, 68--86
Personal Notes
Notes et présentations diverses:
Towards a geometrization of the minimal automorphic representation for SO_{2n}
(exposé au seminaire Langlands geometrique, Chicago, 25 Oct 2010)
Enseignement
Ma thèse de doctorat (1999) `Orthogonality relations between automorphic sheaves attached to 2-dimensional irreducible local systems on a curve'
Habilitation à diriger les recherches 'Certains aspects du programme de Langlands géométrique'
soutenu le 14 juin 2006 à l'Université Paris 6 devant le jury composé de
Gerard Laumon (président)
Edward Frenkel (Rapporteur)
Yves Laszlo
Ivan Mircovic (Rapporteur)
Bao-Chau Ngo (Rapporteur)
Patrick Polo
Christophe Sorger
Jean-Loup Waldspurger
éxposé devant le jury d'habilitation (présentation un peu différente de la version publiée)
copie sur l'archive des thèses en lignes
Etudiants en thèse:
Banafsheh Farang Hariri (thèse soutenu en 2012, McF à l'Université Paris-Sud Orsay)
Lizao Ye (1.09.2015 - 27.09.2019, thèse soutenue le 27 Sept 2019, postdoc HSE Moscow 2019-2021) postdoc
at Morningside Center of Mathematics (Beijing, China) 2021 - August
2024; postdoc at Aalto university, Finland Sept 2024 - August 2026)
Ruotao Yang
(1.09.2016 - 17.06.2020, thèse soutenue le 17 Juin 2020, postdoc at
Skolkovo Institute of Science and Technology, Moscow Sept. 2020 - June
2024. Since June 2024 a tenue-track position at Academy of Mathematics
and Systems Science, Chinese Academy of Science)
last modified: Oct. 16, 2024