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Humboldt-Universität zu Berlin
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INTERNATIONAL RESEARCH TRAINING GROUP
ARITHMETIC AND GEOMETRY
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College Seminar WS 2010 / 2011
Time: Wednesdays, 13.00 - 15.00 am
Place: room 3.011
Higher dimensional algebraic geometry
- 27.10.2010: The minimal program for surfaces, Cristina Manolache
- 03.11.2010: Curves and divisors on algebraic varieties, Stefan Keil
- 10.11.2010: Rational Curves, Fabian Müller
- 17.11.2010: Parametrizing morphisms, Nicola Tarasca
- 24.11.2010: Bend and break I, Ananyo Dan
- 01.12.2010: Bend and break II
- 08.12.2010: Uniruled and Rationally connected varieties, Nicola Tarasca
- 15.12.2010: Quotients by algebraic relations
- 05.01.2011: Fana varieties, Angela Ortega
- 12.01.2011: The cone of curves, Cristina Manolache
- 18.01.2011: Canonical models
- 26.01.2011: The base-point-free Theorem, Margherita Lelli-Chiesa
- 02.02.2011: The cone theorem and the contraction theorem, Cristina Manolache
- 09.02.2011: Examples of flips by toric deformations, Paul Larsen
abstracts / references
College Seminar SS 2010
Time: Tuesdays, 11.00 - 12.30 am
Place: room 1.410
Noether-Lefschetz and Gromov-Witten
- 20.04.2010: Overview, Cristina Manolache
- 27.04.2010: Let's get familiar with K3 surfaces, Remke Nanne Kloosterman
- 04.05.2010: Noether-Lefschetz for K3 surfaces and Noether-Lefschetz numbers, Ananyo Dan
- 11.05.2010: Modular forms, Anilatmaja Aryasomayajula
- 18.05.2010: Vector valued modular forms of half integral weight and Heegner divisors, Prof. Jürg Kramer, Hartwig Mayer
- 25.05.2010: Heegner divisors, Hartwig Mayer
- 01.06.2010: Borcherd's theorem, Anna von Pippich
- 08.06.2010: Gromov-Witten and Gopakumar-Vafa invariants, Angela Ortega
- 15.06.2010: Introduction to toric varieties, Alexandre Krestiachine
- 22.06.2010: Overview of mirror symmetry, Frank Lapp
- 29.06.2010: GW of K3 surfaces, some conjectures on GW of K3's, Margherita Lelli Chiesa
- 06.07.2010: The relationship between NL and GV invariants, Paul Larsen
- 13.07.2010: NL for pencils of quartics, Nicola Tarasca (!!! time: 9:30 to 10:30 !!!)
abstracts / references
College Seminar WS 2009 / 2010
Time: Tuesdays, 11.00 - 12.30 am
Place: room 1.410
Fundamental Algebraic Geometry
- 09.02.10: The Connected Component of the Identity in the Picard Scheme, René Birkner
- 02.02.10: The Picard Scheme II, Angela Ortega
- 26.01.10: The Picard Scheme I, Mark Blume
- 19.01.10: Relative Effective Divisors, Nicola Tarasca (room 1.023 / BMS seminar room !)
- 12.01.10: Picard Functors, Ananyo Dan
- 05.01.10: Descent for Mormphisms of Schemes, Cristina Manolache
- 15.12.09: Descent Theory for Quasi-Cohoerent Sheaves, Hartwig Mayer
- 08.12.09: Descent of Objects of Fibered Categories, Peter Toth
- 01.12.09: The 2-Yoneda Lemma, Anilatmaja Aryasomayajula
- 24.11.09: Equivalences of Fibered Categories , Aaron Greicius
- 17.11.09: Fibered Categories, Margherita Lelli Chiesa
- 10.11.09: Equivalence of Grothendieck topologies, Alexandre Krestiachine
- 03.11.09: Group Objects and Sheaves in Grothendieck topologies, Nicolas Schmidt
- 27.10.09: Why Stacks?, Fritz Hörmann
- 20.10.09: Representable Functors and Yoneda's Lemma, Frank Lapp
- 13.10.09: Grothendieck's FGA: an overview, Michele Bolognesi
College Seminar SS 2009
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
Minimal models of curves and Neron models of abelian varieties:
- 14.07.09:
no seminar
- 07.07.09: Neron models of Jacobians, Anna Posingies
- 30.06.09: From birational group law to group schemes II, Filippo Viviani
- 30.06.09: From birational group law to group schemes I (second part), Aaron Greicius (10.00 o'clock, room
3.006 !!)
- 23.06.09: From birational group law to group schemes I, Aaron Greicius
- 16.06.09: no seminar
- 26.05.09: Weak Neron models, Hartwig Mayer
- 19.05.09: Canonical models for curves, Anil Aryasomayajula
- 12.05.09: no seminar
- 05.05.09: Minimal regular and proper models for curves, Angela Ortega
- 28.04.09:
Resolution of singularities for surfaces, Nicola Tarasca
- 21.04.09: Models for elliptic curves, Frank Lapp
- 14.04.09: An introduction to Minimal and Neron models, Filippo Viviani
College Seminar WS 2008 / 2009
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
Fermat's Last Theorem:
11.02.09: The proof of Wiles, Anna von Pippich (13.30, room 1.023 / BMS seminar room)
10.02.09: The conjecture of Birch and Swinnerton-Dyer, René Birkner
03.02.09: Serre's modularity conjecture, Aaron Greicius
03.02.09: Langlands-Tunnel theorem, Anil Aryasomayajula (9.15, room 3.006)
27.01.09: Introduction to Langlands program II , Fritz Hoermann
20.01.09:
Introduction to Langlands program I, Fritz Hoermann
13.01.09: Deformation theory of Galois representations, Hartwig Mayer
06.01.08: Overview of the proof of Wiles, Filippo Viviani
16.12.08: Overview of the proof of Wiles, Filippo Viviani
09.12.08: Galois representations, Frank Lapp
02.12.08: Modular Jacobians, Anna Posingies
25.11.08: Modular curves, Maria Petkova
18.11.08: L-series of modular forms , Alexandre Krestiachine
11.11.08:
Modular forms II, Nicola Tarasca (Raum 1.315 !!)
04.11.08: Modular forms I , Nicola Tarasca
28.10.08: The arithmetic of elliptic curves, Ananyo Dan
21.10.08: no seminar
14.10.08: Introduction to the Shimura-Taniyama conjecture, Filippo Viviani
College Seminar SS 2008
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
Moduli Space of Abelian Varieties:
- 15.07.08: Compactifications of the moduli space and mixed Hodge structures, Fritz Hoermann
- 08.07.08: Geometry of the moduli space, Anilatmaja Aryasomayajula
- 01.07.08: Toroidal compactifications, Daniel Skodlerack
- 24.06.08: Introduction to toric varieties, Frank Lapp
- 17.06.08: no seminar
- 10.06.08:
Siegel modular forms and the minimal compactification, Anna von Pippich
- 03.06.08: Deformations of Abelien Varieties, Hartwig Mayer
- 27.05.08: An introduction to Deformation Theory, Paul Larsen
- 20.05.08: Construction of A_g via GIT, Filippo Viviani
- 13.05.08: An introduction to GIT, René Birkner
- 06.05.08: Quasi-projectivity of A_g II, Anna Posingies
- 29.04.08: Quasi-projectivity of A_g I, Anna Posingies
- 22.04.08: A_g as a complex analytic space, Maria Petkova
- 15.04.08: Introduction to Moduli Space of Abelian Variety, Filippo Viviani
College Seminar WS 2007 / 2008
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
Seminar Abelian Varieties:
- ??.??.08: The Neumann system and Jacobians of hyperelliptic curves,
Paul Larsen
- 12.02.08: Endomorphisms of abelian varieties, Daniel Skodlerack
- 05.02.08: no seminar
- 29.01.08: Chow ring and Hodge conjecture for abelian varieties,
Fritz Hoermann
- 22.01.08: Tate module, Riemann pairing, fundamental group,
Anna Posingies
- 15.01.08: Cohomology of line bundles, Anna von Pippich
(room 1.315 !!):
- 08.01.08: no seminar
- 01.01.08: holiday
- 25.12.07: holiday
- 18.12.07: no seminar
- 11.12.07: Jacobians, Maria Petkova
- 04.12.07: Dual abelian variety, Filippo Viviani
- 27.11.07: Abelian varieties over arbitrary fields, Anil
Aryasomajajula
- 20.11.07: Group schemes: generalities and finite commutative ones,
Filippo Viviani
- 13.11.07: Complex abelian varieties, Hartwig Mayer
- 06.11.07: Line bundles on complex tori II,
Jesse Alt
- 30.10.07: Line bundles on complex tori I, Jesse Alt
- 23.10.07: Complex Tori and cohomology, Christoph Thies
- 16.10.07: Introduction to Abelian Varieties and
an overview over the seminar, Filippo Viviani
College Seminar SS 2007
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
Seminar Arakelov Geometry:
- 17.07.07: Höherdimensionale Arakelov Geometrie, J.
Kramer
- 10.07.07: Über eine arithmetische Version der BMY-Ungleichung,
U. Kühn
- 03.07.07: Arithmetischer Riemann-Roch III, H. Mayer
- 26.06.07: Arithmetischer Riemann-Roch II, H. Mayer
- 19.06.07: Arithmetischer Riemann-Roch I, F. Hörmann
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12.06.07: Arithmetische Schnitttheorie II, A. von Pippich
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11.06.07: Die Green'sche Funktion II,
C. Thies
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05.06.07: Arithmetische Schnitttheorie I, A. Posingies
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29.05.07: Arithmetische Flächen, C. Curilla
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22.05.07: Die Green'sche Funktion I,
C. Thies
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15.05.07: Klassische Schnitttheorie auf nicht-singulären,
projektiven Flächen, M. Petkova
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08.05.07: Höhentheorie, Ch. Schön
- 01.05.07: holiday
- 24.04.07: Eindimensionaler Fall, D. Skodlerack
- 17.04.07: program discussion
College Seminar WS 2006 / 2007
Time: Tuesdays, 11.00 - 13.00 am
Place: room 1.410
- 17.10.06: Hauptfaserbuendel, Zusammenhaenge, Chern-Weil-Theorie
I, J. Alt
- 24.10.06: Hauptfaserbuendel, Zusammenhaenge, Chern-Weil-Theorie
II, J. Alt
- 31.10.06: Hauptfaserbuendel, Zusammenhaenge, Chern-Weil-Theorie
III, J. Alt
- 07.11.06: Spingruppen, E. L. Wirl
- 14.11.06: Cliffordbuendel und Diracoperatoren, M. Kassuba
- 21.11.06: Cliffordbuendel und ihre Eigenschaften, C. Thies
- 28.11.06: Sobolevraeume, D. Skodlerack
- 05.12.06: Analysis von Dirac Operatoren, V. Fromm
- 12.12.06: Waermekern und asymptotische Entwicklung, S. Heller
- 19.12.06: Trace-class Operatoren, A. v. Pippich
- 09.01.07: McKean-Singer Formel, J. Alt
- 16.01.07: no seminar
- 23.01.07: Getzler Kalkuel und Beweis des Index Satzes, I,
S. Heller
- 30.01.07: Getzler Kalkuel und Beweis des Index Satzes, II,
S. Heller
- 06.02.07: Anwendungen, H. Mayer
- 13.02.07: kein Seminar
Organizers: J. Alt, S. Heller, N. Schoemann
