Documents / Archive

Workshops and Conferences:

17.02.2009-18.02.2009: Mini-Workshop organized by Prof. Wüstholz and Prof. Yu.

16.04.2009-17.04.2009: Number Theory Days at EPFL.

10.05.2009-15.05.2009: Leopoldina Symposium in algebraic and arithmetic algebraic geometry at the Centro Stefano Franscini, Ascona.

02.06.2009-06.06.2009: Conference Diophantine Geometry, Into the millenium.

09.08.2009-14.08.2009: Workshop on the method of Chabauty and Coleman in Alpbach.

30.08.2009-04.09.2009: Conference Algebraic Groups and Invariant Theory, Ascona.

23.04.2010-24.04.2010: Number Theory Days at ETHZ.

18.05.2010-20.05.2010: ProDoc-Minicourse by Trevor Wooley (Bristol) on the circle method.

25.05.2010-29.05.2010: Workshop Rational Points - Theory & Experiment.

18.07.2010-23.07.2010: Workshop on p-adic periods in Alpbach.

01.11.2010-05.11.2010: Workshop Exponential Sums over Finite Fields and Applications.

06.05.2011-07.05.2011: Number Theory Days at EPFL.

13.06.2011-17.06.2011: Russian-Swiss International Symposium Arithmetic Days in Moscow (ETH-MIAN), Russia.

13.07.2011-19.07.2011: Workshop "Motives, periods and transcendence" in Alpbach.

02.09.2012-07.09.2012: Workshop "Multiple Zeta-Values" in Alpbach.

Publications:

For further publications and (in particular) preprints see the personal web pages of the participating members of the ProDoc.

• A. Momot: On the classification of complex tori arising from real Abelian surfaces, Abh. Math. Sem. Univ. Hambg. 79 (2009), 283-298.
• C. Fuchs, T.N. Shorey: Divisibility properties of generalized Laguerre polynomials, Indag. Math. (N.S.) 20 (2009), 217-231.
• C. Fuchs: Polynomial-exponential equations involving multi-recurrences, Stud. Sci. Math. Hungar. 46 (2009), 377-398.
• C. Fuchs, R.F. Tichy, V. Ziegler: On quantitative aspects of the unit sum number problem, Arch. Math. 93 (2009), 259-268.
• R. von Känel: An effective proof of the hyperelliptic Shafarevich conjecture and applications, PhD thesis, ETH Zurich, 2010.
• T. Preu: Transcendental Brauer-Manin obstruction for a diagonal quartic surface, PhD thesis, Univ. of Zurich, 2010.
• C. Fuchs, R. von Känel, G. Wüstholz: An effective Shafarevich theorem for elliptic curves, Acta Arith. 148 (2011), 189-203.
• C. Fuchs, A. Pethö: Composite rational functions having a bounded number of zeros and poles, Proc. AMS 139 (2011), 31-38.
• C. Fuchs: Angle trisection with Origami and related topics, Elem. Math. 66 (2011), 121-136.
• M. Wang: Rational points and transcendental points, PhD thesis, ETH Zurich, 2011.
• L. Kühne: An effective result of André-Oort type, Ann. Math. (2), to appear.
• L. Kühne: An effective result of André-Oort type, PhD thesis, ETH Zurich, 2012.
• A. Momot: Density of rational points on commutative algebraic groups, PhD thesis, ETH Zurich, 2011/12.
• C. Fuchs, U. Zannier: Composite rational functions expressible with few terms, J. Eur. Math. Soc. 14 (2012), 175-208.
• C. Fuchs, T.N. Shorey: Divisibility properties of hypergeometric polynomials, J. Comb. Number Theory, to appear.
• J. Jermann: Interlacing property of the zeros of j_n(tau), Proc. AMS, to appear.
• T.W. Ng, M. Wang: Ritt's theory on the unit disk, Forum Math., to appear.
• T. Preu: Example of a transcendental 3-torsion Brauer-Manin obstruction on a diagonal quartic surface, LMS Lecture Note Series "Torsors, étale homotopy and applications to rational points", to appear.
• J. Skowera: Bialynicki-Birula decomposition of Deligne Mumford stacks, Proc. AMS, to appear.

Conference and Seminar Notes:

Jonathan Skowera's notes taken during the Workshop on motives, periods and transcendence in Alpbach, July 13-19, 2011.

Jonathan Skowera's notes taken during the Workshop on p-adic periods in Alpbach, July 18-23, 2010.

Prof. Wintenberger's Notes on Serre's modularity conjecture (updated 07.05.2009).

Daniel Haase's Slides on arithmetic group determinants.

Prof. Shiga's script for his talk on period differential equations for a family of K3 surfaces.

Jun Yu's summary of his talk on the dimension data problem.