Website of Masayuki Kawakita

Talks

1. Minimal log discrepancies on a fixed threefold,
   Purdue University, USA, 16 April 2025
2. Singularities in birational geometry,
   Purdue University, USA, 16 April 2025
3. Minimal log discrepancies on smooth threefolds,
   Peking University, China, 16 October 2024
4. Invitation to minimal log discrepancies on smooth threefolds,
   Chinese Academy of Sciences, China, 15 October 2024
5. Birational geometry in dimension three,
   67th algebra symposium,
   Kyoto University, Japan, 1 September 2022
6. ACC for minimal log discrepancies and divisorial contractions in dimension three,
   'Algebraic geometry in Auckland',
   University of Auckland, New Zealand, 19 December 2019
7. Problems on threefold singularities,
   Saitama University, Japan, 1 November 2019
8. On boundedness of divisors computing the minimal log discrepancy on a smooth threefold,
   'Algebraic geometry international conference',
   Korea Institute for Advanced Study, S Korea, 3 June 2019
9. Minimal log discrepancies on smooth threefolds,
   'Higher dimensional algebraic geometry',
   University of Tokyo, Japan, 12 March 2018
10. Minimal log discrepancies on smooth threefolds,
    16th affine algebraic geometry meeting,
    Kwansei Gakuin University, Japan, 9 March 2018
11. Divisors computing the minimal log discrepancy,
    Edge days 2017 'Birkar's boundedness and Cremona groups',
    University of Edinburgh, UK, 30 June 2017
12. Divisors computing the minimal log discrepancy,
    'Conference on moduli and birational geometry V',
    Haevichi Resort, S Korea, 16 December 2016
13. On the ACC conjecture for minimal log discrepancies,
    'NCTS workshop in algebraic geometry at CCU',
    National Chung Cheng University, Taiwan, 29 March 2016
14. On minimal log discrepancies,
    'Singularities and invariants of higher dimensional algebraic varieties',
    Kyoto University, Japan, 17 December 2015
15. On the ACC conjecture for minimal log discrepancies,
    'Workshop on algebraic geometry',
    Fudan University, China, 29 October 2015
16. A connectedness theorem over the spectrum of a formal power series ring,
    Kyoto University, Japan, 9 May 2014
17. A connectedness theorem over the spectrum of a formal power series ring,
    'Geometry and arithmetic of surfaces',
    Ludwig Maximilians Universität und Technische Universität München, Germany, 18 March 2014
18. A connectedness lemma on the spectrum of a formal power series ring,
    'Complex geometry',
    National University of Singapore, Singapore, 5 August 2013
19. The index of a threefold canonical singularity,
    'Workshop in algebraic geometry, London 2013',
    Imperial College London, UK, 22 May 2013
20. The index of a threefold canonical singularity,
    'The commutative algebra of singularities in birational geometry: multiplier ideals, jets, valuations, and positive characteristic methods',
    Mathematical Sciences Research Institute, USA, 9 May 2013
21. Ideal-adic semi-continuity of minimal log discrepancies,
    'Higher dimensional algebraic geometry',
    National Taiwan University, Taiwan, 25 March 2013
22. Discreteness of log discrepancies over log canonical triples,
    'Higher dimensional algebraic geometry 2012',
    Kyoto University, Japan, 11 June 2012
23. Discreteness of log discrepancies,
    'ACC for minimal log discrepancies and termination of flips',
    American Institute of Mathematics, USA, 17 May 2012
24. Singularities in the minimal model program,
    'Algebraic versus analytic geometry',
    Erwin Schrödinger International Institute, Austria, 9 December 2011
25. How to classify three-fold divisorial contractions,
    'Singularity theory and its extension',
    Kyoto University, Japan, 22 August 2011
26. Ideal-adic semi-continuity problem for minimal log discrepancies,
    'MMP and extremal rays',
    Kyoto University, Japan, 21 June 2011
27. Ideal-adic semi-continuity problem for minimal log discrepancies,
    University of Tokyo, Japan, 18 April 2011
28. Singularities in the minimal model program,
    5th Pacific Rim conference on mathematics,
    Stanford University, USA, 1 July 2010
29. On minimal log discrepancies,
    'Invariants in algebraic geometry',
    University of Tokyo, Japan, 9 November 2009
30. Towards boundedness of minimal log discrepancies,
    University of Michigan, USA, 24 August 2009
31. Problems on singularities from the theory of minimal models,
    54th algebra symposium,
    Meiji University, Japan, 3 August 2009
32. Towards boundedness of minimal log discrepancies,
    1st Pacific Rim mathematical association congress,
    University of New South Wales, Australia, 10 July 2009
33. Towards boundedness of minimal log discrepancies,
    International conference 'Geometry of algebraic varieties',
    Steklov Mathematical Institute, Russia, 2 July 2009
34. Problems on singularities from the theory of minimal models,
    Kyoto University, Japan, 20 May 2009
35. Towards boundedness of minimal log discrepancies,
    University of Cambridge, UK, 28 January 2009
36. Towards boundedness of minimal log discrepancies,
    Hayama symposium on complex analysis in several variables XII, Japan, 15 July 2008
37. Contractions,
    KIAS winter school on algebraic geometry 'Basics of minimal model program',
    Phoenix Park, S Korea, 21 February 2008
38. Progress in the theory of minimal models,
    'Kyoto University - Seoul National University - Chinese University of Hong Kong workshop for young mathematicians',
    Kyoto University, Japan, 13 February 2008
39. On minimal log discrepancies,
    WAG 07-08 workshop 'Higher dimensional minimal model program',
    University of Warwick, UK, 13 December 2007
40. On minimal log discrepancies,
    'Hot topics: minimal and canonical models in algebraic geometry',
    Mathematical Sciences Research Institute, USA, 19 April 2007
41. Progress in the theory of minimal models in higher dimension,
    Special lecture, Mathematical Society of Japan meeting,
    Osaka City University, Japan, 21 September 2006
42. On a comparison of minimal log discrepancies in terms of motivic integration,
    RIMS workshop 'Arc spaces and multiplier ideals',
    Kyoto University, Japan, 30 August 2006
43. On a comparison of minimal log discrepancies,
    'Numerical invariants of singularities and higher-dimensional algebraic varieties',
    American Institute of Mathematics, USA, 4 August 2006
44. On inversion of adjunction,
    JAMI conference/workshop 'Recent developments in higher dimensional algebraic geometry',
    Johns Hopkins University, USA, 14 March 2006
45. On inversion of adjunction,
    Kyushu University, Japan, 14 February 2006
46. Three-fold divisorial contractions,
    Johns Hopkins University, USA, 3 and 4 May 2005
47. Three-fold divisorial contractions,
    University of Georgia, USA, 20 October 2004
48. Explicit study of three-folds,
    Institute for Advanced Study, USA, 27 September 2004
49. Three-fold divisorial contractions,
    Princeton University, USA, 21 September 2004
50. Proof of general elephant theorem,
    Kyoto University, Japan, 21 May 2004
51. Explicit study of three-folds,
    Kyoto University, Japan, 21 April 2004
52. A remark on minimal logarithmic discrepancies,
    'Higher dimensional algebraic geometry',
    National Taiwan University, Taiwan, 23 March 2004
53. General elephants of three-fold divisorial contractions,
    'Arithmetic and algebraic geometry',
    University of Tokyo, Japan, 22 January 2004
54. Divisorial contractions,
    Special year on algebraic geometry and topology 'Minimal models activity',
    Australian National University, Australia, 19 and 28 August 2003
55. Explicit study of three-folds,
    48th algebra symposium,
    Nagoya University, Japan, 5 August 2003
56. Three-fold divisorial contractions,
    Kyoto University, Japan, 13 June 2003
57. Three-fold divisorial contractions,
    University of Tokyo, Japan, 10 June 2003
58. General elephants of three-fold divisorial contractions,
    Kinosaki algebraic geometry symposium, Japan, 24 October 2002
59. General elephants of three-fold divisorial contractions,
    Yatsugatake algebraic geometry seminar, Japan, 17 September 2002
60. Divisorial contractions in dimension three,
    University of Mannheim, Germany, 22 March 2002
61. Seminar on flips: stabilisation,
    'Higher dimensional complex geometry',
    Isaac Newton Institute, UK, 7 March 2002
62. Divisorial extractions from compound Du Val points,
    Euro workshop 'Higher dimensional varieties and rational points',
    Alfréd Rényi Institute of Mathematics, Hungary, 13 September 2001
63. Divisorial extractions from three-fold Gorenstein points,
    International conference 'Monodromy in geometry and differential equations',
    Steklov Mathematical Institute, Russia, 28 June 2001
64. Divisorial extractions from Gorenstain singularities,
    COW seminar, University of Warwick, UK, 14 June 2001
65. What is the Sarkisov program?,
    Calf seminar, University of Cambridge, UK, 10 May 2001
66. Divisorial contractions in dimension three which contract divisors to smooth or compound A1 points,
    Yatsugatake algebraic geometry seminar, Japan, 23 November 2000
67. Divisorial contractions in dimension three which contract divisors to smooth or compound A1 points,
    DMV-seminar 'Characteristic classes of connections, Riemann--Roch theorems, analogies with epsilon-factors',
    Mathematisches Forschungsinstitut Oberwolfach, Germany, 17 November 2000
68. Divisorial contractions in dimension three which contract divisors to smooth or compound A1 points,
    University of Rome Tor Vergata, Italy, 10 November 2000
69. Elementary introduction to the minimal model program with emphasis on contractions of three types (fibre spaces, divisorial and small),
    University of Rome Tor Vergata, Italy, 8 November 2000
70. Divisorial contractions in dimension three which contract divisors to smooth points,
    Tokyo Institute of Technology, Japan, 23 June 2000

Lecture series

1. Algebraic threefolds,
   'Topics in advanced mathematics IV',
   Saitama University, Japan, 28, 29, 30, 31 October and 1 November 2019
2. Minimal log discrepancies,
   '2016 NCTS mini-course in algebraic geometry',
   National Taiwan University, Taiwan, 18, 21 and 23 March 2016
3. Minimal log discrepancies and generic limits,
   Peking University, China, 27 and 29 May 2014
4. Singularities in the minimal model program,
   'Intensive lecture IV',
   University of Tokyo, Japan, 7, 8, 9, 10 and 11 October 2013
5. Survey on inversion of adjunction,
   '2007 NCTS mini-course in algebraic geometry',
   National Tsing Hua University, Taiwan, 5, 10, 11 and 12 July 2007