NCMW - Seshadri Constants (2019)

Speakers and Syllabus

Speaker Lectures Syllabus
D. S. Nagraj
(IISER Tirupati)		 4 Review of basic curve and surface theory: Riemann-Roch theorem for curves and surfaces, blow ups of nonsingular surfaces at points, adjunction formula, intersection theory on surfaces, Hodge index theorem.
K. Hanumanthu
(CMI)		 4 Introduction to Seshadri constants.
O. Das
(UCLA)		 4 Frobenius-Seshadri constants in positive characteristic.
T. Szemberg
(Pedagogical University of Krakow)		 4 Introduction to the theory of unexpected hypersurfaces.
J. Szpond
(Pedagogical University of Krakow)		 2 TBA

References:

  1. Robin Hartshorne Algebraic Geometry, Chapters IV and V.
  2. D. Cook, B. Harbourne, J. Migliore, U. Nagel, Line arrangements and configurations of points with an unexpected geometric property, Compos. Math. 154 (2018), no. 10, 2150-2194.
  3. T. Bauer, G. Malara, T. Szemberg, J. Szpond, Quartic unexpected curves and surfaces, M anuscripta Math., 1-10 (2018).
  4. M. Mustata, K. Schwede, A Frobenius variant of Seshadri constants, Math. Ann., 358 (2014), no. 3-4, 861- 878.
  5. R. Lazarsfeld, Positivity in Algebraic Geometry I, Chapter V
  6. T. Bauer et al, A primer on Seshadri constants.

Time Table

Day Date Lecture 1
9:30 to 11:00 		Lecture 2
11:30 -1:00 		Lecture 3
2:30-3:30 		Tutorial
4:00-5:00
Mon 16 Dec DSN DSN JSz AD, NIL
Tue 17 Dec DSN DSN JSz AD, NIL
Wed 18 Dec TSz KH OD PKR, AS
Thu 19 Dec TSz KH OD PKR, AS
Fri 20 Dec TSz KH OD PKR, AS
Sat 21 Dec TSz KH OD AD, NIL

Tutors:
Anantadulal, NISER (AD)
Nilkantha, NISER (NIL)
Praveen Kumar Roy, CMI (PKR)
Aditya Subramaniam, CMI (AS)

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