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Research talks;Algebraic and Complex Geometry

The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the second lecture. The last two lectures are devoted to some applications of arc spaces toward a conjecture on minimal log discrepancies known as inversion of adjunction. Minimal log discrepancies are invariants of singularities appearing in the minimal model program, a quick overview of which is given in the third lecture. The space of formal arcs of an algebraic variety carries part of the information encoded in a resolution of singularities. This series of lectures addresses this fact from two perspectives. In the first two lectures, we focus on the topology of the space of arcs, proving Kolchin's irreducibility theorem and discussing the Nash problem on families of arcs through the singularities of the variety; recent results on this problem are proved in the ...

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Documents 14E15 | enregistrements trouvés : 59

Arc spaces and singularities in the minimal model program - Lecture 1 de Fernex, Tommaso | CIRM H Nouveau

Travaux de Gabber sur l'uniformisation locale et la cohomologie étale des schémas quasi-excellents.Séminaire à l'École Polytechnique 2006-2008 Illusie, Luc ; Laszlo, Yves ; Orgogozo, Fabrice | Société Mathématique de France 2014 Nouveau

Singularities in geometry and topology#Sept. 13-18 Brasselet, Jean-Paul ; Suwa, Tatsuo | Mathematical Society of Japan 2007 Nouveau

Singularités Franco-Japonaise#Sept. 9-13 Brasselet, Jean-Paul ; Suwa, Tatsuo | Société Mathématique de France 2005 Nouveau

Séminaire Bourbaki. Vol. 2009/2010: exposés 1012-1026 | Société Mathématique de France 2011 Nouveau

Liverpool singularities symposium II :proceedings of Liverpool singularities symposium II held atthe university of Liverpool#Sept.1969 - Aug. 1970 Wall, C. T. C. | Springer-Verlag 1971 Nouveau

Topology :a collection of papers Aleksandrov, P. S. | American Mathematical Society 1985 Nouveau

Real and complex singularities, Oslo 1976proceedings of the nordic summer school NAVF symposium in mathematicsAug. 5-25 Holm, P. | Sijthoff & Noordhoff International Publisher 1977 Nouveau

Finite groups - coming of the Age :proceedings of the Canadian mathematical society conference held at Concordia University#June 15-18 McKay, John | American Mathematical Society 1985 Nouveau

Free resolutions in commutative algebra and algebraic geometrySundanceMay 90 Eisenbud, David ; Huneke, Craig | Jones and Bartlett Publishers 1992 Nouveau

Phenomenological approach to algebraic geometry.Contributions resulting from the Algebraic geometry Simons semester miniPAGES # 2016 Buczynski, Jaroslaw ; Cynk, Slawomir ; Szemberg, Tomasz | Institute of Mathematics, Polish Academy of Sciences 2018 Nouveau

Proceedings of Liverpool singularities symposium IISept. 1969 - Aug. 1970 Wall, C. T. C. | Springer-Verlag 1971 Nouveau

Birational algebraic geometry :a conference on algebraic geometry in memory of Wei-Liang Chow (1911-1995) Japan-U.S. Mathematics Institute. Johns Hopkins University#April 11-14 Kawamata, Yujiro ; Shokurov, Vyacheslav V. | American Mathematical Society 1997 Nouveau

Topics in algebraic and noncommutative geometry :proceedings in memory of Ruth Michler held at CIRM#Luminy#July 20-22#Oct. 25-28 Melles, Caroline Grant ; Brasselet, Jean-Paul ; Kennedy, Gary ; Lauter, Kristin | American Mathematical Society 2003 Nouveau

Strings and geometry :Proceedings of the Clay mathematics institute#March 24 - April 20 Douglas, Michael ; Gauntlett, Jerome ; Gross, Mark | American Mathematical Society 2004 Nouveau

Contributions to algebraic geometry:Impanga lecture notes.Based on the Impanga conference on algebraic geometryBedlewo # july 4-10, 2010 Pragacz, Piotr | European Mathematical Society 2012 Nouveau

Singularities in geometry and topology:Strasbourg 2009Proceedings of the 5th Franco-Japanese symposium on singularitiesStrasbourg # august 24-28, 2009 Blanloeil, Vincent ; Ohmoto, Toru | European Mathematical Society 2012 Nouveau

Geometric methods in representation theory, IGrenoble # june 16 - july 4, 2008 Brion, Michel | Société Mathématique de France 2012 Nouveau

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Travaux de Gabber sur l'uniformisation locale et la cohomologie étale des schémas quasi-excellents.
Séminaire à l'École Polytechnique 2006-2008 Illusie, Luc ; Laszlo, Yves ; Orgogozo, Fabrice | Société Mathématique de France 2014 Nouveau

Liverpool singularities symposium II :
proceedings of Liverpool singularities symposium II held atthe university of Liverpool#Sept.1969 - Aug. 1970 Wall, C. T. C. | Springer-Verlag 1971 Nouveau

Topology :
a collection of papers Aleksandrov, P. S. | American Mathematical Society 1985 Nouveau

Real and complex singularities, Oslo 1976
proceedings of the nordic summer school NAVF symposium in mathematics
Aug. 5-25 Holm, P. | Sijthoff & Noordhoff International Publisher 1977 Nouveau

Finite groups - coming of the Age :
proceedings of the Canadian mathematical society conference held at Concordia University#June 15-18 McKay, John | American Mathematical Society 1985 Nouveau

Free resolutions in commutative algebra and algebraic geometry
Sundance
May 90 Eisenbud, David ; Huneke, Craig | Jones and Bartlett Publishers 1992 Nouveau

Phenomenological approach to algebraic geometry.
Contributions resulting from the Algebraic geometry Simons semester miniPAGES # 2016 Buczynski, Jaroslaw ; Cynk, Slawomir ; Szemberg, Tomasz | Institute of Mathematics, Polish Academy of Sciences 2018 Nouveau

Proceedings of Liverpool singularities symposium II
Sept. 1969 - Aug. 1970 Wall, C. T. C. | Springer-Verlag 1971 Nouveau

Birational algebraic geometry :
a conference on algebraic geometry in memory of Wei-Liang Chow (1911-1995) Japan-U.S. Mathematics Institute. Johns Hopkins University#April 11-14 Kawamata, Yujiro ; Shokurov, Vyacheslav V. | American Mathematical Society 1997 Nouveau

Topics in algebraic and noncommutative geometry :
proceedings in memory of Ruth Michler held at CIRM#Luminy#July 20-22#Oct. 25-28 Melles, Caroline Grant ; Brasselet, Jean-Paul ; Kennedy, Gary ; Lauter, Kristin | American Mathematical Society 2003 Nouveau

Strings and geometry :
Proceedings of the Clay mathematics institute#March 24 - April 20 Douglas, Michael ; Gauntlett, Jerome ; Gross, Mark | American Mathematical Society 2004 Nouveau

Contributions to algebraic geometry:
Impanga lecture notes.
Based on the Impanga conference on algebraic geometry
Bedlewo # july 4-10, 2010 Pragacz, Piotr | European Mathematical Society 2012 Nouveau

Singularities in geometry and topology:
Strasbourg 2009
Proceedings of the 5th Franco-Japanese symposium on singularities
Strasbourg # august 24-28, 2009 Blanloeil, Vincent ; Ohmoto, Toru | European Mathematical Society 2012 Nouveau

Geometric methods in representation theory, I
Grenoble # june 16 - july 4, 2008 Brion, Michel | Société Mathématique de France 2012 Nouveau