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Workshop A: Gröbner Bases Theory and Applications in Algebraic Geometry
Date: February 06 - February 17
Chairmen: Gert-Martin Greuel, Gerhard Pfister
| Monday, February 6th |
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| 09.00-09.20 | | H. Engl, B. Buchberger | | Kick-Off: Salutatory |
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| 09.30-11.00 | | B. Buchberger | | A Crash Course in Groebner Bases I |
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| 11.30-13.00 | | B. Buchberger | | A Crash Course in Groebner Bases II |
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| 15.00-16.00 | | G.-M. Greuel | | Tutorial in Groebner Bases I (Groebner Basics) |
| 16.30-18.00 | | G.-M. Greuel, M. Brickenstein | | Introduction to SINGULAR I |
| Tuesday, February 7th |
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| 09.30-11.00 | | G.-M. Greuel | | Constructive ideal and module theory |
| 11.30-13.00 | | G.-M. Greuel | | Computation in local rings |
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| 15.00-16.00 | | G.-M. Greuel | | Tutorial in Groebner Bases II (Singularities) |
| 16.30-18.00 | | G.-M. Greuel, M. Brickenstein | | Introduction to SINGULAR II |
| Wednesday, February 8th |
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| 09.00-10.00 | | M. Brickenstein | | Slim Groebner Basis computations |
| 10.30-11.30 | | Oliver Labs | | Surf and surfaces |
| 12.00-13.00 | | Carlo Traverso | | Linear algebra methods in Groebner basis computing |
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| 14.30-14.50 | | G.-M. Greuel, M. Brickenstein | | ORMS: Oberwolfach References for Mathematical Software
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| 15.00-16.00 | | Viktor Levandovskyy | | Non-commutative Groebner Bases
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| 17.00 | | Shuttle Bus to Hagenberg |
| 17.30-17.40 | | Bruno Buchberger | | Short Introduction to RISC and Softwarepark Hagenberg |
| 17.40-18.45 | | Herwig Hauser | | Constructive resolution of singularities |
| 19.00 | | Buffet Dinner (Photos) |
| Thursday, February 9th |
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| 09.00-10.00 | | G.-M. Greuel | | Triangular sets and solving polynomial systems |
| 10.30-11.30 | | F. Rouillier | | On solving polynomial zero-dimensional systems
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| 12.00-13.00 | | F. Rouillier | | On solving parametric systems
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| 15.00-15.45 | | A. Hashemi | | Complexity of Zero-dimensional Gröbner Bases
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| 16.00-16.30 | | I. Spitkovsky | | On a system of polynomial equations arising in certain problems regarding
joint numerical range |
| 16.45-17.15 | | F. Balint | | The LEX game
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| Friday, February 10th |
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| 09.30-11.00 | | G.-M. Greuel | | Constructive normalization of affine rings |
| 11.30-13.00 | | G.-M. Greuel | | Groebner bases and flatness |
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| 15.00-16.00 | | G.-M. Greuel | | Tutorial in Groebner Bases IV (Cohen Macaulay and Depth) |
| 16.30-18.00 | | G.-M. Greuel, M. Brickenstein | | Introduction to SINGULAR IV |
| Monday, February 13th |
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| 09.30-11.00 | | W. Decker | | Tate-resolution and sheaf cohomology |
| 11.30-13.00 | | F.-O. Schreyer | | Computing direct image sheaves |
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| 15.00-16.00 | | W. Decker | | Tutorial on Tate-resolution and sheaf cohomology |
| 16.30-18.00 | | F.-O. Schreyer | | Tutorial on direct image sheaves |
| Tuesday, February 14th |
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| 09.30-11.00 | | J. Schicho | | Effective resolution of singularities
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| 11.30-13.00 | | A. Frühbis-Krüger | | On implementations of the resolution
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| 14.30-15.15 | | Lectures of graduate students |
| 15.00-16.00 | | A. Frühbis-Krüger | | Tutorial on resolution of singularities |
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| 16.30-18.00 | | A. Frühbis-Krüger, Gerhard Pfister | | Tutorial on invariants in singularity theory
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| Wednesday, February 15th |
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| 09.30-11.00 | | B. Martin | | Computation of Newton-Jacobi diagrams and discriminants of plane branches |
| 11.30-13.00 | | A. Campillo | | Equisingularity strata for plane curve singularities |
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| 15.00-16.00 | | P. Schenzel | | Varieties of almost minimal degree |
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| 17.00 | | Shuttle Bus to Hagenberg |
| 17.30-17.40 | | Bruno Buchberger | | Short Introduction to RISC and Softwarepark Hagenberg |
| 17.40-18.45 | | G. Pfister | | SINGULAR and Applications
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| 19.00-21.30 | | Buffet Dinner |
| 21.30 | | Shuttle Bus to Linz |
| Thursday, February 16th |
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| 09.30-10.30 | | S. King | | Ideal Turaev-Viro invariants |
| 11.30-13.00 | | S. Tajima | | Noetherian differential operators and an algorithm for computing Grothendieck local resudues |
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| 14.30-15.15 | | Lectures of graduate students |
| 15.30-16.30 | | C. Traverso | | Binomial ideals and applications |
| 17.00-18.00 | | Viktor Levandovskyy | | Tutorial non-commutative computations with SINGULAR
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| Friday, February 17th |
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| 09.00-10.00 | | Gerhard Pfister | | Primary decomposition and related topics I
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| 10.15-11.00 | | Gerhard Pfister | | Tutorial on primary decomposition
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| 11.15-12.45 | | Kazuhiro Yokoyama | | Primary decomposition and related topics II |
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| 13.45-14.45 | | Santiago Laplagne | | Computation of the radical
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