Piotr Pragacz Home Page

Seminar IMPANGA 2005-

ACADEMIC YEAR 2005/2006

This year is mainly devoted to algebraic cycles and motives (a series of lectures by J. Murre, V. Srinivas, and A. Weber) and Thom polynomials ( a series of lectures by A. Weber, P. Pragacz and O. Ozturk). Some topics in the theory of moduli spaces are covered by lectures of A. Langer and T. Szemberg. Several classical algebraic varieties are studied from different points of view: rational curves on Grassmannians (T. Maszczyk), Del Pezzo surfaces and Calabi-Yau manifolds (G. and M. Kapustka), modularity of CY threefolds (S. Cynk) and the diagonal property of smooth varieties ( P. Pragacz). M. Brodzik speaks about logarithmic deformations. During the Spring minischool, M. Lehn delivers a series of lectures on symplectic holomorphic varieties, and some participants of Impanga lecture on the Fourier-Mukai transform, notably for Abelian varieties.

SPECIAL SESSION OF IMPANGA 100 (28-29.10.2005) Algebraic cycles and motives , Invited speakers : Jacob Murre (Leiden), Vasudevan Srinivas (Bombay), and Andrzej Weber (Warszawa).
impanga 101 (25.11.2005) 1. A. Weber : Thom polynomials 1: A topological introduction, 2. P. Pragacz : On equations defining diagonal subschemes.
Mini-school at Krakow organized by T. Szemberg (1.-3.12.2005) with H. Esnault and E. Viehweg : Recent Advances in Algebraic Geometry.
impanga 102 (9.12.2005) 1. A. Weber: Thom polynomials 2, 2. T. Maszczyk: An infinitesimal-birational duality through differential operators.
IMPAN-Graduate Colloquium Talk (9.12.2005) P. Pragacz: On some problem in algebraic geometry.
PTM-IMPAN Colloquium Talk by J. Wisniewski : " Warsaw's theorems on C*-actions " (5.01.2006).
impanga 103 (6.01.2006) 1. P. Pragacz : Thom polynomials 3, 2. A. Langer : Moduli spaces of principal G-bundles in positive characteristic I.
IMPAN-Graduate Colloquium Talk (6.01.2006) M. Kapustka: On Del Pezzo surfaces.
impanga 104 (20.01.2006) 1. P. Pragacz : Thom polynomials 4, 2. A. Langer : Moduli spaces of principal G-bundles II.
impanga 105 (24.02.2006) 1. P. Pragacz : Thom polynomials 5, 2. T. Maszczyk : On special rational curves in Grassmannians.
impanga 106 (10.03.2006) 1. P. Pragacz : Thom polynomials 6, 2. T. Szemberg : Positive bundles on moduli spaces of curves.
impanga 107 (24.03.2006) 1. P. Pragacz : Thom polynomials 7, 2. S. Cynk: Modularity of Calabi-Yau varieties.
IMPAN-Graduate Colloquium Talk (24.03.2006) G. Kapustka: On Calabi-Yau manifolds.
impanga 108 (7.04.2006) 1. P. Pragacz : Thom polynomials 8, 2. M. Borodzik: Logarithmic deformations and codimension of a singular point.
IMPAN-Graduate Colloquium Talk (21.04.2006) O. Ozturk (METU-Ankara/IMPAN): Thom polynomials via Schur functions.
impanga 109-114: Impanga school: Symplectic holomorphic singularities with M. Lehn as the main speaker (April 24-29. 2006), Banach Center, Warsaw.

ACADEMIC YEAR 2006/2007

This year is mainly devoted to the "point" and "diagonal" properties of manifolds (series of lectures by P. Pragacz on the joint work with V. Srinivas
and V. Pati, and recent results of O. Debarre), Gromov-Witten invariants (series of lectures by M. Borodzik and T. Maszczyk), derived categories of some special varieties (series of lectures by O. Kedzierski), K-theory in arithmetics (lectures by G. Banaszak and W. Gajda), Witt groups (M. Szyjewski) , K3- surfaces (S. Rams), and Seshadri constants for linear systems (T. Szemberg). Various aspects of zeta functions in mathematics
are extensively studied, also during the special sesion in May. The subject of another session, in January, is: Hoene-Wronski: his life, mathematics, and philosophy...

impanga 115 (13.10.2006) 1. A. Weber : The Chow ring of a classifying space, 2. P. Pragacz : The diagonal and point property in algebraic geometry.
impanga 116 (27.10.2006) 1. P. Pragacz: Subcanonical schemes I, 2. W. Gajda: The image of Galois representation, the Hodge conjecture, and the Mumford-Tate conjecture for Abelian varieties.
impanga 117 (10.11.2006) 1. P. Pragacz: Subcanonical schemes II, 2. S. Rams: On a classical map between K3 surfaces.

impanga 118(24.11.2006) 1. M. Borodzik: Okounkov's results on Gromov-Witten invariants and Hurwitz theory I, 2. S. Cynk: Elliptic curves with complex multiplication.

impanga 119 (08.12.2006) 1. T. Maszczyk: Okounkov's results on Gromov-Witten invariants and Hurwitz theory II, 2. G. Banaszak: On monomorphisms of rings inducing monomorphisms in K-theory.

impanga 120-121 (12-13.01.2007) Session: A tribute to Hoene-Wronski (in Polish)

impanga 122 (26.01.2007) 1. O. Kedzierski: Derived categories of some varieties I, 2. A. Langer: Irreducible symplectic 4-folds (after O'Grady).

impanga 123 (23.02.2007) 1. O. Kedzierski: Derived categories of some varieties II, 2. P. Pragacz: Zeta functions I.
impanga 124 (16.03.2007) 1. T. Szemberg: What's new on Seshadri constants?, 2. P. Achinger: Zeta functions II: Riemann's 1859 paper
impanga 125 (30.03.2007) 1. P. Pragacz: New results and conjectures on the point and diagonal properties , 2. M. Debowska: Zeta functions III: Elementary computations of numbers of points on curves over finite fields.
impanga 126 (13.04.2007) 1. T. Maszczyk: Noncommutative geometry through monoidal categories, 2. J. Browkin: Zeta functions IV: Zeroes of the Riemann zeta function (in Polish)
impanga 127 (27.04.2007) 1. M. Szyjewski: Ordinary and derived Witt groups of projective spaces, 2. A. Fluder: Zeta functions V: Estimations of numbers of points on curves over finite fields.
impanga 128-129 (04-05.05.2007) Session : Zeta functions (in Polish)

ACADEMIC YEAR 2007/2008

Main topics:

Characteristic classes; Thom polynomials of different types of singularities

"Point" and "diagonal" properties of algebraic schemes

Vector bundles, sheaves, and associated objects in algebraic geometry

Green conjectures

Zeta functions

etc.

impanga 130 (Friday 12.10.2007, 10:30-14:30) 1. M. Kapustka: Arithmetic and geometric properties of some Calabi-Yau threefolds, 2. G. Kapustka: Primitive contractions of Calabi-Yau threefolds.
impanga 131 (26.10.2007) 1. A. Langer: D-modules and Frobenius map on quadrics. , 2. A. Weber: Positivity of Schur function expansions of Thom polynomials.

impanga 132 (09.11.2007) V. Mehta (Tata, Mumbai): 1. Theta divisors for semistable vector bundle on Castelnuovo curves, 2. The singularities of the moduli spaces of vector bundles in characteristic 0 and p.
impanga 133 ( 23.11.2007) 1. K. Palka: Geometry of open surfaces. Singular Q-homology planes I. , 2. M. Mikosz: Introduction to symplectic geometry and Lagrangian submanifolds.
impanga 134 (07.12.2007) 1. K. Palka: Geometry of open surfaces. Singular Q-homology planes II. , 2. T. Maszczyk: On splitting polynomials with noncommutative coefficients.

impanga 135 (14.12.2007) 1. A. Langer: Moduli of instanton bundles. , 2. S. Rams : Defect of some hypersurfaces.

impanga 136 (4.01.2008) 1. H. Tutaj-Gasinska: Linear systems on the blow-ups in the points of the anticanonical systems. , 2. M. Borodzik: The knots of singularities of algebraic curves.

impanga 137 (18.01.2008) 1. O. Kedzierski: Toric bundles I., 2. T. Maszczyk: Correspondences and the Galois-Tannaka duality.

Summer semester:

Preliminary program:

impanga 138 (22.02.2008) 1. O. Kedzierski: Toric bundles II, 2. P. Pragacz: Schur Q-functions and their geometrical applications.

impanga 139 (07.03.2008) 1. T. Szemberg: Restrictions on values of Seshadri constants, 2. P. Pragacz: \~Q-functions I : definition and basic properties.

impanga 140 (14.03.2008) 1. P. Pragacz: \~Q-functions II: divided differences and vertex operators , 2. A. Langer: Counting instantons (after Nakajima and Yoshioka).

impanga 141 (28.03.2008) 1. P. Pragacz: Lagrange and Legendre singularities , 2. S. Cynk: Calabi-Yau varieties of Kummer type and modularity.

impanga 142 (Cracow, 11.04.2008) 1. P. Pragacz: Positivity of Thom polynomials of Lagrange and Legendre singularities, 2. tba.

impanga 143 (25.04.2008) 1. M. Borodzik: Plane algebraic curves via intersection theory on moduli space of curves I , 2. tba.

impanga 144 (Cracow, 09.05.2008) 1. M. Borodzik: Plane algebraic curves via intersection theory on moduli space of curves II , 2. O. Ozturk: On the diagonal property for toric varieties.

impanga 145 (30.05.2008)  A. Lascoux: Polynomials in several variables and interpolation (pdf)

impanga 146-150 Research group "Classical algebra, combinatorics, and Hoene-Wronski" organized by Alain Lascoux and Piotr Pragacz:

31.05.2008: T. Maszczyk: The Buermann-Lagrange formula vs. "Highest law" of Hoene-Wronski (pdf)

3.06.2008:   M. Marcinkowska: The legacy of Hoene-Wronski in Library of PAN in Kornik.

4.06.2008: K. Macioszek: The Bott theorem and decompositions of loop spaces.

5.06.2008: A. Lascoux: Euclidean algorithm (pdf)

plus informal discussions

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