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

This year is mainly devoted to the geometry and arithmetic of Calabi-Yau threefolds ( series of lectures by M. and G. Kapustka, and S. Cynk), positivity properties of Thom polynomials
of mappings and Lagrange singularities (series of lectures by M. Mikosz, P. Pragacz and A. Weber), moduli of vector bundles (lectures by V. Mehta, A. Langer), linear systems (H. Tutaj-Gasinska, T. Szemberg), geometry of open surfaces (K. Palka), toric bundles (O. Kedzierski, O. Ozturk), plane algebraic curves via intersection theory of moduli spaces of curves (M. Borodzik), and classical
algebra and combinatorics (series of lectures by A. Lascoux in the framework of a research group organized by IMPANGA in May/June 2008).

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.

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. G. & M. Kapustka: A cascade of determinantal Calabi-Yau threefolds I.

impanga 143 (25.04.2008) 1.M. Borodzik: Plane algebraic curves via intersection theory on moduli space of curves I , 2. G. & M. Kapustka: A cascade of determinantal Calabi-Yau threefolds II.

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 146-149 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

ACADEMIC YEAR 2008/2009

This year has no main streams. Perhaps the most represented topics are Calabi-Yau manifolds (S. Cynk, M. Kapustka, S.-T. Yau), Thom polynomials (O. Ozturk and P. Pragacz) and linear systems (M. Dumnicki, B. Harbourne, J. Roe, H. Tutaj-Gasinska, T. Szemberg). Also: algebraic geometry in positive characteristic (A. Langer), cohomology theories for singular spaces (A. Weber). Lectures on other subjects were delivered by: G. Banaszak, F. Bars, M. Halenda, J.-M. Hwang, T. Maszczyk. Talks at the Special Seminar and Conference organized by S. Janeczko et al. on the occasion of 60. Birthday of our dear maternel Institute of Mathematics of Polish Academy of Sciences included the following speakers: F. Catanese (regular surfaces), F. Hirzebruch, G.-M. Greuel, Le Dung Trang (singularities of curves), and S.-T. Yau.

impanga 150 (Cracow, 10.10.2008) G. Hein: 1. Generalized Albanese varieties, 2. Postnikov stability.

impanga 151 (24.10.2008) 1. A. Langer: Fundamental groups: Tanakian approch , 2. T. Szemberg: A generalization of an inequality of Xu and its consequences.

impanga 152 (22.11.2008) 1. A. Langer: Fundamental groups: Lefschetz type theorems, 2. A. Weber: Purity at the end: about perverse filtrations.

impanga 153 (5.12.2008) 1. G. Banaszak: Arithmetic in Mordell-Weil groups and l-adic representations, 2. T. Maszczyk: Distributive lattices and cohomology.

impanga 154 (16.01.2009) 1. Japanese film: "Masayoshi Nagata", 2. S. Cynk: Modular Calabi-Yau manifolds of Kummer type.

impanga 155 (30.01.2009) 1. P. Pragacz: Reminiscences from the stay in Japan, , 2. M. Kapustka: Geometric transitions between Calabi-Yau threefolds, 3. Z. Jelonek: On the Cancellation Problem.

impanga 156 (13.02.2009) 1. P. Pragacz: On the diagonal property , 2. O. Ozturk: On Thom polynomials.

impanga 157 (27.02.2009) 1. P. Pragacz: Some results on Thom polynomials, 2. A. Weber: Topology of maps and weight filtration.

impanga 158 (13.03.2009) 1. A. Langer: Foliations on algebraic varieties, 2. M. Dumnicki: Curves with multiplicities in points in general position.

impanga 159 (Cracow 27.03.2009) 1. B. Harbourne (Univ. of Nebrasca): Containment of symbolic powers in ordinary powers of ideals, 2. J. Roe (Univ.Auton.Barcelona): Systems defined by clusters, 3. J.-M. Hwang (KIAS): Characteristic foliation on a hypersurface of general type in a projective symplectic manifold. These 3 talks end Summer School on Linear Systems , organized by S. Mueller-Stach and T. Szemberg at Cracow Pedagogical University.

impanga 160-1 (03-04.04.2009) Seminar on 60th Birthday of IM PAN:

           1. F. Hirzebruch : Hilbert Polynomials in Algebraic Geometry and Topology,
           2. S.-T. Yau: Geometry of moduli space of curves and algebraic manifolds,
           3. G.-M. Greuel: Asymptotic Bounds for Singularities on Algebraic Curves.

impanga 162-4 (06-08.04.2009) Conference on Geometry at IM PAN with S.-T. Yau as a honorary guest.

impanga 165 (17.04.2009) 1. F. Bars (Barcelona): 1. Bielliptic modular curves, 2. A. Weber: A subjective report from a conference at MSRI.

impanga 166 (08.05.2009) 1. H. Tutaj-Gasinska: On symplectic packing constants and Seshadri constants , 2. M. Halenda (UG): Flat Kaehler manifolds.

IMPAN-Graduate Colloquium Talk (08.05.2006): M. Farnik: A complete algebraic surface with infinitely many maximal quasi-projective open subsets.

impanga 167 (29.05.2009) 1. O. Ozturk: Localization formula and Thom polynomials , 2. T. Szemberg: Convex bodies in algebraic geometry.

ACADEMIC YEAR 2009/2010 (the 10th year of IMPANGA)

impanga 168 (09.10.2009) 1. A. Langer: The fundamental group of a product , 2. M. Borodzik: Morse theory for plane algebraic curves and applications.

PTM-IMPAN Colloquium Talk by J. Wlodarczyk (Purdue University) : " On Hironaka resolution of singularities in characteristic zero " (22.10.2009).

impanga 169 (23.10.2009) J. Wlodarczyk: Method of resolving singularities of algebraic varieties in characteristic zero, and its generalization to positive characteristic.

impanga 170 (06.11.2009) 1. A. Langer: The fundamental group of a product II , 2. S. Cynk: Calabi-Yau manifolds in positive characteristic.

IMPAN-Graduate Colloquium Talk (06.11.2009): M. Halenda: Flat Kaehler manifolds.

IMPAN-Graduate Colloquium Talk (13.11.2009): M. Lason: Derived categories of toric varieties with Picard number three.

impanga 171 (20.11.2009) 1. P. Pragacz: Singularities of theta divisors: a survey , 2. S. Cynk: Calabi-Yau manifolds in positive characteristic II.

impanga 172 (04.12.2009) 1. A. Weber: Loop groups and symmetric functions , 2. P. Pragacz: One-parameter family of bases in all of which any Legendrian Thom polynomial has positive expansion.

impanga 173 (18.12.2009) 1. H. Tutaj-Gasinska: Toric packing and Seshadri constants. , 2. J. Byszewski: Deformations of local group actions on curves in positive characteristic.

impanga 174 (08.01.2010) 1. S. Friedl (Warwick): Fibered 3-manifolds and symplectic 4-manifolds. , 2. Z. Jelonek: Characterization of symplectomorphisms and symplectic diffeomorphisms.

impanga 175 (22.01.2010) 1. J. Gismatullin (UWr): Model-theoretic connected components of algebraic groups. , 2. K. Pawalowski (UAM): Smooth actions of the circle on the manifold with high degree of symmetry.

Tentative programme for the Spring semester 2010:

impanga 176 (26.02.2010) 1. A. Langer: Moduli spaces of semistable sheaves on Enriques surfaces , 2. P. Pragacz: On some classical results on Prym varieties.

impanga 177 (12.03.2010) 1. B. Totaro (Cambridge): Jumping of the nef cone for Fano varieties., 2. M. Kapustka: Mukai varieties and dual K3 surfaces.

impanga 178 (26.03.2010) 1. A. Langer: Moduli spaces of framed perverse instantons on P^3. , 2. S. Rams: Defect via logarithmic differential forms.

         impanga 179 (09.04.2010) 1. A. Langer: Moduli spaces of sheaves on P^2 and automorphism group action. , 2. T. Szemberg: tba.

         impanga 180 (23.04.2010) 1. P. Pragacz: On singular hypersurfaces (to be precised) , 2. W. Gajda (UAM): tba.

         impanga 181 (07.05.2010) 1. O. Kedzierski: tba. , 2. tba.

         impanga 182 (21.05.2010) 1. T. Szemberg: tba. , 2. M. Pankov: tba.

         impanga 183 (04.06.2010) 1. tba. , 2. Towards the IMPANGA School in July (the meeting of organizers).

       We plan to finish this academic year with    IMPANGA SUMMER SCHOOL ON ALGEBRAIC GEOMETRY 2010

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