ETHZ-UZh-Sbg Arithmetic and Geometry Research Group

"Arithmetic and Geometry" was initiated by a ProDoc training module granted by the Swiss National Science Fund. Its purpose was to lead excellent graduate students to the degree of Ph.D. Visit also the homepage of the Zurich graduate school in mathematics. The activities were partly also supported by Austrian Science Fund (FWF): P24574 and, more recently, by Austrian Science Fund (FWF): I4406.

People:

Joseph Ayoub (UZh)

Clemens Fuchs (U. Salzburg; formerly ETH)

Andrew Kresch (UZh)

Richard Pink (ETH)

Gisbert Wüstholz (ETH)

Sarah Zerbes (ETH)

**Book:**

Arithmetic and Geometry: Ten Years in Alpbach

Edited by G. Wüstholz and C. Fuchs

Annals of Mathematics Studies 202, Princeton University Press, Princeton, NJ, 2019

Final version: URL

Alpbach-Workshops:

26.06.2022-01.07.2022: Workshop "Alpbach 2022". For details see here.

05.09.2021-10.09.2021: Workshop "Alpbach 2021". For details see here.

Postponed to 2021 because of the Covid-19 crisis: 28.06.2020-03.07.2020: Workshop "Alpbach 2020". For details see here.

30.06.2019-05.07.2019: Workshop on Diophantine problems and p-adic period mappings. For details see here.

01.07.2018-06.07.2018: Workshop "Alpbach 2018: Galois Representations and Heights". For details see here.

09.07.2017-15.07.2017: Workshop "Alpbach 2017: Arithmetic Algebraic Geometry". For details see here.

26.06.2016-01.07.2016: Workshop "Arithmetic and Geometry: Ten years in Alpbach". For details see here.

05.07.2015-10.07.2015: Workshop "Special cycles on Shimura varities" in Alpbach. For details see here.

06.07.2014-11.07.2014: Workshop "Periods and heights of CM abelian varieties" in Alpbach. For details see here.

07.07.2013-12.07.2013: Workshop "p-adic Modular Forms" in Alpbach. For details see here.

02.09.2012-07.09.2012: Workshop "Multiple Zeta-Values" in Alpbach. For details see here.

13.07.2011-19.07.2011: Workshop "Motives, periods and transcendence" in Alpbach. For details see here.

18.07.2010-23.07.2010: Workshop on p-adic periods in Alpbach. For details see here.

09.08.2009-14.08.2009: Workshop on the method of Chabauty and Coleman in Alpbach. For details see here.

15.06.2008-20.06.2008: International Training Group Arithmetic and Geometry, Alpbach, Austria.

02.09.2007-07.09.2007: International Training Group Arithmetic and Geometry, Alpbach, Austria.

Archive:

*Selected conferences*:

03.06.2013-08.06.2013: 25 years of Number Theory Seminar, FIM at ETHZ.

30.05.2013-31.05.2013: ProDoc-Minicourse by N. Mok on holomorphic maps between bounded domains which preserve invariant forms, FIM at ETHZ.

18.03.2013-22.03.2013: Conference Equidistribution in Number Theory and Dynamics, FIM at ETHZ.

15.03.2013-16.03.2013: Number Theory Days at EPFL.

18.06.2012-22.06.2012: International Conference on Number Theory, Hong Kong, China.

31.05.2012-25.05.2012: Workshop Rational Points & Rational Curves

30.03.2012-31.03.2012: Number Theory Days at ETHZ.

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

06.05.2011-07.05.2011: Number Theory Days at EPFL.

01.11.2010-05.11.2010: Workshop Exponential Sums over Finite Fields and Applications, FIM at ETHZ.

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

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

23.04.2010-24.04.2010: Number Theory Days at ETHZ.

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

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

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

16.04.2009-17.04.2009: Number Theory Days at EPFL.

17.02.2009-18.02.2009: Mini-Workshop organized by Prof. Wüstholz and Prof. Yu. For the program see here.

15.06.2008-20.06.2008: International Training Group Arithmetic and Geometry, Alpbach, Austria.

17.04.2008-18.04.2008: Number Theory Days at ETHZ.

02.09.2007-07.09.2007: International Training Group Arithmetic and Geometry, Alpbach, Austria.

24.09.2006-29.09.2006: International Training Group Arithmetic and Geometry, Pleinfeld, Germany.

22.05.2005-28.05.2005: International Training Group Arithmetic and Geometry, Chorin, Germany.

16.05.2004-21.05.2004: International Training Group Arithmetic and Geometry, Ascona, Switzerland.

30.08.1999-04.09.1999: Alan Baker 60. Number Theory and Diophantine Geometry at the Gateway to the Millenium, Zurich, Switzerland.

*Conference and Seminar Notes*:

Jonathan Skowera's notes taken during the workshop on Multiple Zeta Values in Alpbach, September 2-7, 2012.

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.

ProDoc-Archive:

People

Research Modules

Guests

Publications

Seminars

NTS-Archive:

Information on the Number Theory Seminars in the period WS06/07 to FS09 can be found here. The list of seminars starting with HS09 is available here.

Picture Gallery:

Pictures of the ProDoc-Workshop in Alpbach, Austria, 13.-19.07.2011

Pictures of the excursion to the Rhine Falls (Rheinfall) on 02.12.2010

Pictures of the ProDoc-Workshop in Alpbach, Austria, 18.-23.07.2010

Pictures of the skiday in Flims/Laax, on 27.01.2010

Pictures of the ski- and sledging-day in Lenzerheide, on 19.01.2010

Pictures of the ProDoc-Workshop in Alpbach, Austria, 09.-14.08.2009

Pictures of the Leopoldina-Symposium in Algebraic and Arithmetic Algebraic Geometry, held at CSF, Monte Verita, Ascona, 10.-15.05.2009

Contribution in Einstein. SF-Wissensmagazin "Origami löst unlösbare Probleme" (Sendung vom 09.04.2009)

Pictures of the winter-hiking and sledging tour in Vals, on 04.02.2009

Pictures of the hiking tour from Safien via Glaspass to Thusis, on 27.08.2008

Pictures of the excursion (to celebrate G.W.s 60th birthday) to Stein.a.Rh. and Mammern, on 06.06.2008

Pictures of the excursion to the Rhine Falls (Rheinfall), on 28.11.2007

*Some impressions from Switzerland*:

Wintertime in Guarda (Unterengadin)

Greifensee near Zurich

"Centro Stefano Francini - Monte Verita" in Ascona-Lago Maggiore

"Arithmetic and Geometry" was initiated by a ProDoc training module granted by the Swiss National Science Fund. Its purpose was to lead excellent graduate students to the degree of Ph.D. Visit also the homepage of the Zurich graduate school in mathematics. The activities were partly also supported by Austrian Science Fund (FWF): P24574 and, more recently, by Austrian Science Fund (FWF): I4406.

People:

Joseph Ayoub (UZh)

Clemens Fuchs (U. Salzburg; formerly ETH)

Andrew Kresch (UZh)

Richard Pink (ETH)

Gisbert Wüstholz (ETH)

Sarah Zerbes (ETH)

Arithmetic and Geometry: Ten Years in Alpbach

Edited by G. Wüstholz and C. Fuchs

Annals of Mathematics Studies 202, Princeton University Press, Princeton, NJ, 2019

Final version: URL

Alpbach-Workshops:

26.06.2022-01.07.2022: Workshop "Alpbach 2022". For details see here.

05.09.2021-10.09.2021: Workshop "Alpbach 2021". For details see here.

Postponed to 2021 because of the Covid-19 crisis: 28.06.2020-03.07.2020: Workshop "Alpbach 2020". For details see here.

30.06.2019-05.07.2019: Workshop on Diophantine problems and p-adic period mappings. For details see here.

01.07.2018-06.07.2018: Workshop "Alpbach 2018: Galois Representations and Heights". For details see here.

09.07.2017-15.07.2017: Workshop "Alpbach 2017: Arithmetic Algebraic Geometry". For details see here.

26.06.2016-01.07.2016: Workshop "Arithmetic and Geometry: Ten years in Alpbach". For details see here.

05.07.2015-10.07.2015: Workshop "Special cycles on Shimura varities" in Alpbach. For details see here.

06.07.2014-11.07.2014: Workshop "Periods and heights of CM abelian varieties" in Alpbach. For details see here.

07.07.2013-12.07.2013: Workshop "p-adic Modular Forms" in Alpbach. For details see here.

02.09.2012-07.09.2012: Workshop "Multiple Zeta-Values" in Alpbach. For details see here.

13.07.2011-19.07.2011: Workshop "Motives, periods and transcendence" in Alpbach. For details see here.

18.07.2010-23.07.2010: Workshop on p-adic periods in Alpbach. For details see here.

09.08.2009-14.08.2009: Workshop on the method of Chabauty and Coleman in Alpbach. For details see here.

15.06.2008-20.06.2008: International Training Group Arithmetic and Geometry, Alpbach, Austria.

02.09.2007-07.09.2007: International Training Group Arithmetic and Geometry, Alpbach, Austria.

Archive:

03.06.2013-08.06.2013: 25 years of Number Theory Seminar, FIM at ETHZ.

30.05.2013-31.05.2013: ProDoc-Minicourse by N. Mok on holomorphic maps between bounded domains which preserve invariant forms, FIM at ETHZ.

18.03.2013-22.03.2013: Conference Equidistribution in Number Theory and Dynamics, FIM at ETHZ.

15.03.2013-16.03.2013: Number Theory Days at EPFL.

18.06.2012-22.06.2012: International Conference on Number Theory, Hong Kong, China.

31.05.2012-25.05.2012: Workshop Rational Points & Rational Curves

30.03.2012-31.03.2012: Number Theory Days at ETHZ.

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

06.05.2011-07.05.2011: Number Theory Days at EPFL.

01.11.2010-05.11.2010: Workshop Exponential Sums over Finite Fields and Applications, FIM at ETHZ.

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

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

23.04.2010-24.04.2010: Number Theory Days at ETHZ.

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

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

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

16.04.2009-17.04.2009: Number Theory Days at EPFL.

17.02.2009-18.02.2009: Mini-Workshop organized by Prof. Wüstholz and Prof. Yu. For the program see here.

15.06.2008-20.06.2008: International Training Group Arithmetic and Geometry, Alpbach, Austria.

17.04.2008-18.04.2008: Number Theory Days at ETHZ.

02.09.2007-07.09.2007: International Training Group Arithmetic and Geometry, Alpbach, Austria.

24.09.2006-29.09.2006: International Training Group Arithmetic and Geometry, Pleinfeld, Germany.

22.05.2005-28.05.2005: International Training Group Arithmetic and Geometry, Chorin, Germany.

16.05.2004-21.05.2004: International Training Group Arithmetic and Geometry, Ascona, Switzerland.

30.08.1999-04.09.1999: Alan Baker 60. Number Theory and Diophantine Geometry at the Gateway to the Millenium, Zurich, Switzerland.

Jonathan Skowera's notes taken during the workshop on Multiple Zeta Values in Alpbach, September 2-7, 2012.

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.

ProDoc-Archive:

People

Research Modules

Guests

Publications

Seminars

NTS-Archive:

Information on the Number Theory Seminars in the period WS06/07 to FS09 can be found here. The list of seminars starting with HS09 is available here.

Picture Gallery:

Pictures of the ProDoc-Workshop in Alpbach, Austria, 13.-19.07.2011

Pictures of the excursion to the Rhine Falls (Rheinfall) on 02.12.2010

Pictures of the ProDoc-Workshop in Alpbach, Austria, 18.-23.07.2010

Pictures of the skiday in Flims/Laax, on 27.01.2010

Pictures of the ski- and sledging-day in Lenzerheide, on 19.01.2010

Pictures of the ProDoc-Workshop in Alpbach, Austria, 09.-14.08.2009

Pictures of the Leopoldina-Symposium in Algebraic and Arithmetic Algebraic Geometry, held at CSF, Monte Verita, Ascona, 10.-15.05.2009

Contribution in Einstein. SF-Wissensmagazin "Origami löst unlösbare Probleme" (Sendung vom 09.04.2009)

Pictures of the winter-hiking and sledging tour in Vals, on 04.02.2009

Pictures of the hiking tour from Safien via Glaspass to Thusis, on 27.08.2008

Pictures of the excursion (to celebrate G.W.s 60th birthday) to Stein.a.Rh. and Mammern, on 06.06.2008

Pictures of the excursion to the Rhine Falls (Rheinfall), on 28.11.2007

Wintertime in Guarda (Unterengadin)

Greifensee near Zurich

"Centro Stefano Francini - Monte Verita" in Ascona-Lago Maggiore

Impressum 28.02.2022