田一超

中国科学院数学与系统科学研究院

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  • 田一超
  • 研究员
  • 南楼 905

个人简况:

I am now a faculty member at the Moringside Center of Mathematics, AMSS, Chinese Academy of Sciences. I am working on arithmetic algebraic geometry, and particularly interested in p-divisible groups, p-adic Hodge theory, p-adic modular forms, and the geometry of Shimura varieties in characteristic p.  Here is my CV.  

Publication and Prepublication: 

On Tate conjecture for the special fibres of some unitary Shimura varieties (Joint work with David Helm & Liang Xiao).
Tate cycles on some quaternionic Shimura varieties mod p (Joint work with Liang Xiao).
 p-adic cohomology and classicality of overconvergent Hilbert modular forms (Joint work with Liang Xiao), submitted.
On Goren-Oort stratification for quaternionic Shimura varieties (Joint work with Liang Xiao).
Modularity lifting theorem in parallel weight one and applications to the Artin conjecture: the tamely ramified case (Joint work with Payman Kassaei and Shu Sasaki), Forum of Mathematics, Sigma (2014), Vol. 2, e. 18, 58 pages.
Classicality of overconvergent Hilbert modular forms: case of quadratic inert degree, to appear in Rendiconti del Seminario Matematico della Universit`a di Padova.
An upper bound on the ramification filtration of finite group schemes and application, Algebra and Number Theory, Vol. 6, No. 2 (2011), 231-242.
Canonical subgroups of Barsotti-Tate groups, Annals of Mathematics, 172 No.2 (2010), 955-988.
p-adic monodromy of the universal deformation of a HW-cyclic Barsotti-Tate group, Documenta Mathematica, 14 (2009), 397-440.

Notes not destinated for publication: 

Faisceaux Pervers,  A student seminar talk in a course of Luc Illusie, 2004-2005.
Classification des schemas en groupes d'ordre p (d'apres Oort-Tate), A seminar talk in University Paris 13 around 2008.
Calculs des Ext^i d'un groupe et module de Dieudonne, A seminar talk in University Paris 13 around 2005.
De la ramification aux sous-groupes canoniques, A talk at a conference at Roscoff, 2009.?
Notes on Tate's Thesis, Notes for a course at Tsinghua Summer School, 2011.
Lectures on Algebraic Number Theory, notes for a course at Tsinghua, 2014.

P.h. D. Thesis: 

Sous-groupes canoniques et monodromie p-adiques des groupes de Barsotti-Tate, under the supervision of Professor Ahmed Abbes, defended on November 19th, 2007 at University Paris 13. 

Seminars in Long Term:

Arithmetic Geometry Seminar Beijing-Paris-Tokyo (Beijing version),  Current.

Workshops: 

Summer Workshop on Arithmetic Geometry (July 22–25, 2013, with Shenghao Sun and Weizhe Zheng)
Workshop on Perfectoid Spaces (August 6–10, 2012, with Weizhe Zheng)
Workshop on Faltings' theory of almost étale extensions (August 3–14, 2009, with Weizhe Zheng)

Undergraduate Courses: 

1. Algebraic Number Theory, 2014 Spring at Tsinghua University. 
   Location: 清华学堂102
   Time: Monday & Wednesday 19:20-20:55, Feburary 24th-June 11th.
   The notes of the course can be found here.