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克雷数学研究所算术几何 (CMI, Arithmetic geometry)【英】

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2018-12-26 09:24:00

https://www.youtube.com/playlist?list=PLhsb6tmzSpizK_MHYhWif0kOVj4A0MgJX 讲义：https://pan.baidu.com/s/1hZH1hA3ttUYP6rsof91lnA 提取码：hwru

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01 - SummerSchool 'Arithmetic geometry' Tschinkel - Introduction _ 2006

53:39

02 - SummerSchool 20060717 1130 Hassett - Rational surfaces over algebraically c

01:00:15

03 - SummerSchool 20060717 1430 Kresch - Brauer groups, Galois cohomology

59:08

04 - SummerSchool 20060718 1000 Tschinkel - Hypersurfaces

58:44

05 - SummerSchool 20060718 1130 Hassett - Rational surfaces over non-closed fiel

01:02:32

06 - SummerSchool 20060718 1430 Kresch - Brauer-Manin obstruction with quaternio

01:02:06

07 - SummerSchool 20060719 1000 Tschinkel - Toric varieties I

01:00:16

08 - SummerSchool 20060719 1130 Hassett - Rational surfaces over non-closed fiel

01:00:56

09 - SummerSchool 20060719 1430 Kresch - Descent, torsors

01:03:20

10 - SummerSchool 20060720 1000 Tschinkel - Toric varieties II

58:08

11 - SummerSchool 20060720 1130 Hassett - Singular Del Pezzo surfaces

01:00:58

12 - SummerSchool 20060720 1430 Kresch - Hasse principle and Brauer-Manin obstru

01:01:24

13 - SummerSchool 20060721 1000 Tschinkel - Flag varieties

51:18

14 - SummerSchool 20060721 1130 Hassett - Cox rings and universal torsors

01:00:44

15 - SummerSchool 20060721 1430 Kresch - Further examples

55:53

16 - SummerSchool 20060724 1000 Darmon - Arithmetic of curves - overview

01:12:19

17 - SummerSchool 20060724 1130 Starr - Tsen-Lang theorem

01:00:26

18 - SummerSchool 20060724 1430 Popescu - Special values of L-functions

01:06:20

19 - SummerSchool 20060725 1000 Darmon - Faltings' theorem I

01:02:33

20 - SummerSchool 20060725 1130 Starr - Arithmetic over function fields of curve

43:23

21 - SummerSchool 20060725 1430 Tschinkel - Compactifications of additive groups

01:05:34

22 - SummerSchool 20060725 1600 Moroz - Circle method I

57:13

23 - SummerSchool 20060726 1000 Darmon - Faltings' Theorem II

01:06:53

24 - SummerSchool 20060726 1130 Starr - Arithmetic over function fields of surfa

01:08:03

25 - SummerSchool 20060726 1430 Harari - Nonabelian descent

01:04:44

26 - SummerSchool 20060727 1000 Darmon - Modular curves and Mazur's Theorem

01:01:48

27 - SummerSchool 20060727 1130 Harari - Bielliptic surfaces

59:40

28 - SummerSchool 20060727 1430 Rebolledo - Merel's theorem

01:03:10

29 - SummerSchool 20060727 1600 Moroz - Circle method II

47:41

30 - SummerSchool 20060728 1000 Rebolledo - Merel's theorem, continued

01:06:32

31 - SummerSchool 20060728 1130 Harari - Enriques surfaces

01:01:36

32 - SummerSchool 20060728 1430 Bogomolov - Geometry over small fields

59:36

33 - SummerSchool 20060728 1600 Darmon - Fermat curves and Wiles' Theorem

01:15:35

34 - SummerSchool 20060731 1000 Darmon - Elliptic curves and modular forms

01:03:22

35 - SummerSchool 20060731 1130 Abramovich - Geometry and arithmetic of curves

01:01:03

36 - SummerSchool 20060731 1430 Chambert Loir - Equidistribution on the projecti

58:51

37 - SummerSchool 20060801 1000 Darmon - The theorems of Gross-Zagier and Kolyva

01:05:56

38 - SummerSchool 20060801 1130 Abramovich - Kodaira dimension

01:02:31

39 - SummerSchool 20060801 1430 Voight - Some diophantine applications of Heegne

01:02:33

40 - SummerSchool 20060802 1000 Darmon - Proof of Kolyvagin's Theorem

01:02:28

41 - SummerSchool 20060802 1130 Abramovich - Campana's program

01:03:01

42 - SummerSchool 20060802 1430 Chambert Loir - Arakelov geometry and equidistri

52:28

43 - SummerSchool 20060803 1000 Darmon - p-adic uniformisation

01:16:23

44 - SummerSchool 20060803 1130 Abramovich - The minimal model program

01:02:33

45 - SummerSchool 20060803 1430 Greenberg - Calculating Heegner points via overc

01:06:22

46 - SummerSchool 20060804 1000 Darmon - Stark-Heegner points

01:06:25

47 - SummerSchool 20060804 1130 Abramovich - Vojta, Campana, and ABC

01:02:54

48 - SummerSchool 20060804 1430 Chambert Loir - Equidistribution on Berkovich sp

01:01:16

49 - SummerSchool 20060807 1000 Oort - Introduction - Density of Hecke orbits

01:05:03

50 - SummerSchool 20060807 1130 Chai - Serre-Tate theory

01:06:51

51 - SummerSchool 20060807 1430 Ullmo - The André-Oort conjecture and Manin-Mumf

01:03:14

52 - SummerSchool 20060807 1600 Messing - Theory of displays I

01:49:28

53 - SummerSchool 20060808 1000 Oort - The Tate-conjecture

01:03:44

54 - SummerSchool 20060808 1130 Chai - Dieudonné and Cartier modules

01:06:27

55 - SummerSchool 20060808 1430 Poonen - Varieties over finite fields I

01:00:18

56 - SummerSchool 20060808 1600 Messing - Theory of displays II

01:44:48

57 - SummerSchool 20060809 1000 Oort - A conjecture of Manin and the weak Grothe

01:03:17

58 - SummerSchool 20060809 1130 Chai - Hilbert modular varieties

01:01:58

59 - SummerSchool 20060809 1430 Ullmo - Equidistribution of special varieties

50:48

60 - SummerSchool 20060809 1600 Manin - Iterated modular symbols I

01:01:24

61 - SummerSchool 20060810 1000 Oort - Purity and deformations of p-divisible gr

01:03:19

62 - SummerSchool 20060810 1130 Poonen - Varieties over finite fields II

01:03:50

63 - SummerSchool 20060810 1430 Manin - Iterated modular symbols II

01:03:02

64 - SummerSchool 20060810 1600 Kaledin - Cartier isomorphism I

01:00:59

65 - SummerSchool 20060811 1000 Oort - Proof of the density of ordinary Hecke or

54:43

66 - SummerSchool 20060811 1130 Chai - Proof of the Grothendieck conjecture

01:04:07

67 - SummerSchool 20060811 1430 Manin - Iterated modular symbols III

01:00:14

68 - SummerSchool 20060811 1600 Kaledin - Cartier isomorphism II

01:05:55

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