个人简介
Position
I am a Professor in Beijing International Center of Mathematics Research.
2013
Feb. -Jul. I'm organizing a reading seminar on the first 5 Chapters on Lazarsfeld's book 'Positivity in algebraic geometry I'. Contact me if you are interested to attend.
Jul. 1-12 Jason Starr is giving a series of lectures on 'rationally connected varieties'.
Jul. 14 Tong Zhang (University of Alberta): Geography of varieties of large Albanese dimension.
Aug. 21 Zhiyu Tian (California Institute of Technology): Weak Approximation for Cubic hypersurfaces.
Sep. - Dec. There is a joint seminar between PKU, THU and Chinese Academia of Science which aims to understand Mirror symmetry for log Calabi-Yau. See the program.
Oct. 8-17 Claire Voisin (CNRS): Algebraic cycles and Hodge structures.
Nov. 27-Dec. 2 Benjamin Bakker (NYU): Holomorphic Symplectic Manifolds.
2014
May 27-29 Masayuki Kawakita (RIMS): Minimal log discrepancies and generic limits.
May 28 Yi Zhu (University of Utah): A-1 connectedness varieties.
Jul. 21-23 Lie Fu (ENS de Paris): Intersection theory of projective hyperkahler varieties.
Jul. 21-25 Valery Alexeev (University of Georgia): Compact moduli spaces of weighted hyperplane arrangements.
2015
Mar.-Jun. Evgeny Mayanskiy and I are organizing a reading seminar on deformation theory, see the webpage.
Mar.-Jun. Baohua Fu, Eduard Looijenga and I are organizing a reading seminar on geometry of cubic threefolds and fourfolds.
Apr.1-15 Olivier Benoist (CNRS) : Integral decomposition of the diagonal and application.
Apr. 29 Yujiro Kawamata (University of Tokyo): Derived McKay Correspondence for finite abelian group quotients.
May 10 Beijing Algebraic Geometry Colloquium: First meeting. Speaker: Lawrence Ein and Hélène Esnault.
May 14 Chen Jiang (University of Tokyo): Boundedness of anti-canonical volumes of singular log Fano threefolds.
May 14 Tong Zhang (University of Alberta): Relative Clifford’s Theorem for fibered varieties by Curves.
Jun. 8-14 Morgan Brown (University of Michigan): A mini-course on Berkovich spaces.
Jul. 10-13 Zhiyuan Li (Stanford University): Special cycles on Shimura varieties.
Jul. 11-14 Zhiyu Tian (CNRS and Université Joseph-Fourier-Grenoble): Varieties with large fundamental group.
Nov. 21 Beijing Algebraic Geometry Colloquium: Third meeting.
2016
Apr. 9 Beijing Algebraic Geometry Colloquium: Fifth meeting.
Jul. 4-15 Reading group on Stable Rationality and Chow Decomposition.
2017
Mar. 13-18 Tianyuan Advanced Seminar on the Moduli Spaces in Algebraic Geometry.
May 5-7 BICMR-Tokyo Algebraic Workshop.
Aug. 28-Sep. 1 Boundedness, Stability and Fano varieties.
Teaching
2013 Fall: Algebraic Geometry.
2015 Spring: Algebraic Geometry II.
2015 Fall: Algebraic Geometry II.
2016 Spring: Topics on Core Mathematical Subjects I.
2017 Spring: Introduction to Algebraic Geometry.
2017 Spring: Topics on Core Mathematical Subjects I.
2017 Fall: Abstract Algebra (抽象代数).
研究领域
1. Geometric and Arithmetic theory of Rationally Connected Varieties.
2. Minimal Model Program and Classification of varieties.
3. Stability.
4. Topology and Geometry of Singularities.
近期论文
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1. Congruence for rational points over finite fields and coniveau over local fields (with H. Esnault), Trans. Amer. Math. Soc. 361 (2009), no. 5, 2679-2688.
2. Degenerations of Rationally Connected Varieties (with A. Hogadi). Trans. Amer. Math. Soc. 361 (2009), No.7, 3931-3949.
3. Notes on π1 of Smooth Loci of Log Del Pezzo Surfaces. Michigan Math. J. 58 (2009), no. 2. 489-515.
4. On Effective Log Iitaka Fibration for 3-folds and 4-folds (with G. Todorov). Algebra Number Theory 3 (2009), no. 6, 697-710.
5. Log-canonical models of singular pairs and its applications (with Yuji Odaka). Math. Res. Lett. 19 (2012), no.2, 325-334.
6. Strong rational connectedness of surfaces. J. Reine Angew. Math. 665 (2012), 189-205.
7. Weak approximation for low degree del Pezzo surfaces. Journal of Algebraic Geometry 21 (2012), 753-767.
8. On the birational automorphisms of varieties of general type (with Christopher Hacon and James McKernan). Annals of Math. 177 (2013), Issue 3, 1077-1111.
9. Existence of log canonical closures (with Christopher Hacon). Invent. Math. 192 (2013), Issue 1, 161-195.
10. Finiteness of algebraic fundamental groups. Compos. Math. 150 (2014), Issue 03, 409-414.
11. Special test configurations and K-stability of Fano varieties (with Chi Li). Annals of Math. 180 (2014), Issue 1, 197-232.
12. ACC for log canonical thresholds (with Christopher Hacon and James McKernan). Annals of Math. 180 (2014), Issue 2, 523-571.
13. Nonexistence of aymptotic GIT compactification (with Xiaowei Wang). Duke Math. J. 163 (2014), Issue 12, 2217-2241.
14. On the three dimensional minimal model program in positive characteristic (with Christopher Hacon). J. Amer. Math. Soc. 28 (2015) no. 3, 711-744.
15. On base point free theorem of threefolds in positive characteristic. J. Inst. Math. Jussieu 14 (2015) Issue 3, 577-588.
16. On base point freeness in positive characteristic (with Paolo Cascini and Hiromu Tanaka). Ann. Sci. École Norm. Sup. 48 (2015) no. 5, 1239-1272.
17. Boundedness of log Calabi-Yau pairs of Fano type (with Christopher Hacon). Math. Res. Lett. 22 (2015), no.6, 1699-1716.
18. Poles of maximal order of motivic zeta function (with Johannes Nicaise). Duke Math. J. 165 (2016), Issue 2, 217-243.
19. Motivic zeta function via dlt modification. Michigan Math. J. 65 (2016), Issue 1, 89-103.
20. The dual complex of Calabi-Yau pairs (with János Kollár). Invent. Math. 205 (2016), Issue 3, 527-557.
21. On Finiteness of B-representations and Semi-log Canonical Abundance (with Christopher Hacon). Minimal models and extremal Rays (Kyoto, 2011), 361-378, Adv. Stud. in Pure Math 70, Math. Soc. Japan, Tokyo, 2016.
22. The essential skeleton of a degeneration of algebraic varieties (with Johannes Nicaise). Amer. J. Math. 138 (2016), No. 6, 1645-1667.
23. Ampleness of the CM line bundle on the moduli space of canonically polarized varieties (with Zsolt Patakfalvi). Algebraic Geometry 4 (2017) Issue 1, 29-39.
24. Finiteness of fundamental groups (with Zhiyu Tian). Compos. Math. 153 (2017), Issue 02, 257-273.
25. The dual complex of singularities (with Tommaso de Fernex, János Kollár). Higher Dimensional Algebraic Geometry in honour of Professor Yujiro Kawamata’s sixtieth birthday, 103-129, Adv. Stud. in Pure Math 74, Math. Soc. Japan, Tokyo, 2017.
26. Semi-stable extensions over 1-dimensional bases (with János Kollár and Johannes Nicaise). Acta Math. Sinica 34 (2018), no.1, 103-113.
27. Boundedness of moduli of varieties of general type (with Christopher Hacon and James McKernan). J. Euro. Math. Soc. 20 (2018), Issue 4, 865-901.
28. Quasi-projectivity of the moduli space of smooth Kähler-Einstein Fano manifolds (with Chi Li and Xiaowei Wang). Ann. Sci. École Norm. Sup. 51 (2018) no. 3, 739-772.
29. Stability of Valuations: Higher Rational Rank (with Chi Li). Peking Math. J. 1 (2018) no. 1, 1-79.
30. The non-archimedean SYZ fibration (with Johannes Nicaise, Tony Yue Yu). Compos. Math. 155 (2019), Issue 05, 953-972.
31. Nonvanishing for threefolds in characteristic p > 5 (with Lei Zhang). Duke Math. J. 168 (2019), Issue 07, 1269-1301.
32. On the proper moduli spaces of smoothable Kähler-Einstein Fano varieties (with Chi Li and Xiaowei Wang). Duke Math. J. 168 (2019), Issue 08, 1387-1459.
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