Workshop „Calabi-Yau Motives“ – 28.-30.01.2019 sowie Festkolloquium am 31.02.2019

 

Workshop "Calabi-Yau Motives" - 28.-30.01.2019

The workshop will take place in the Hilbert Room 05-432 (on the 5th floor)
of the Institute of Mathmatics (Institut für Mathematik) in Building 2413,
Staudinger Weg 9, 55128 Mainz, Germany.

Timetable tba.

Yui, Noriko (Queen’s University)
Four-dimensional Galois representations arising from certain Calabi–Yau threefolds
Abstract: We consider the (irreducible) four-dimensional Galois representations arising from certain
Calabi–Yau threefolds over Q with all the Hodge numbers of the third cohomology groups equal to 1. There
are many examples of (families) of such Calabi–Yau threefolds. The modularity/automorphy of such Calabi–
Yau threefolds will be the main topic of discussion. There are two venues to be considered. In one venue, we
ought to count the number of rational points over finite fields of these Calabi–Yau threefolds to concoct their
L-series. In the other venue, we ought to construct some modular varieties, in this case, conjecturally, Siegel
modular forms of weight 3 and genus 2 on some paramodular subgroups of Sp(4,Z), and then compute their
L-series. Such modular forms may be constructed using Borcherds forms. The ultimate aim is to establish
a Langlands correspondence between the two L-series, thereby establishing the modularity/automorphy of
such Calabi–Yau threefolds.
This is a joint work with Yifan Yang (National Taiwan University).

 

 

Das Festkolloquium anlässlich des 60. Geburtstags von Duco van Straten
findet am Donnerstag, den 31.01.2019 ab voraussichtlich 14 Uhr
am Institut für Mathematik im Hilbertraum 05-432 (5. Stock) statt.
Die Vorträge werden im Nebenraum (05-514) gehalten.

https://www.mathematik.uni-mainz.de/institutskolloquium-wintersemester-2018-19/

Sprecher:

Klaus Altmann - Three kinds of differences among polytopes and their toric Interpretation

Abstract:
For two polytopes P,Q in a finite-dimensional vector space M we can introduce three different notions of differences:

1) the formal difference P-Q for turning the semigroup of polytopes (under Minkowski addition) into a group,
2) the set (P:Q) consisting of all elements m of M such that m+Q is contained in P, and
3) the set theoretic difference P\Q.

The goal of the talk is to explain the meaning of these constructions within toric geometry where the polytopes P and Q represent certain invertible sheaves.

Philip Candelas / Xenia de la Ossa

David Mond: - Fitting ideals and multiple points of mappings: questions and conjectures

Abstract:
Returning to an old topic with a new approach and increased computing power has yielded some new partial results and new conjectures. The talk surveys earlier work of mine and Pellikaan, Duco van Straten and Theo de Jong, and Kleiman and Ulrich, before describing recent progress and questions.

 

Voraussichtlicher Zeitplan für den 31.1.2019 - Änderungen vorbehalten!

Uhrzeit Vortrag Sprecher
14:00 Begrüßung
14:15 Vortrag 1
15:15-16:00 Pause
16:00 Vortrag 2
17:00 Vortrag 3
18:00 Ende

 

Informations  to get here:

campus map   http://www.uni-mainz.de/Dateien/JGU_campus_map.pdf

public Transport:

The city of Mainz has a main station and a number of other rail stations. Please check the Deutsche Bahn https://reiseauskunft.bahn.de/bin/query.exe/dn?ld=37218&protocol=https:&seqnr=1&ident=kh.032378218.1543477749&rt=1&OK#focus website for train timetables or the MVG https://www.mainzer-mobilitaet.de/zeiten-netz/routen-fahrplaene.html.

The following lines serve the university stop Friedrich-von-Pfeiffer-Weg from the main station (Hbf=Hauptbahnhof) and Hbf West / Taubertsbergbad (IC Hotel):

  • 51 (towards Lerchenberg)
  • 53 (towards Lerchenberg)
  • 54 (towards Klein-Winternheim)
  • 55 (towards Finthen)
  • 56 (towards Finthen/Wackernheim)
  • 59 (towards Hochschule Mainz)
  • 75 (towards Schwabenheim/Ingelheim)
  • 650 (towards Sprendlingen)

We would recommend using the tram lines 51, 53, and 59,  or Bus No. 55 and 56

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)

http://www.openstreetmap.org/?mlat=49.9903&mlon=8.2335&zoom=17#map=17/49.99030/8.23350

Please get off one stop after Universität, at Friedrich-von-Pfeiffer-Weg
map surroundings bus stop Friedrich-von-Pfeiffer-Weg (Uni, Math.Inst.)   http://www.mvg-linien.de/pdf/hsup_15.pdf j or http://www.openstreetmap.org/?mlat=49.9946&mlon=8.2365&zoom=17#map=17/49.99460/8.23650

From the stop, walk over the pedestrian bridge to the university campus and follow the street to the right. After about 100 meters there is a left curve. After passing the Mensa (campus cafeteria) you see the Mathematics building right in front of you. (The walk is about 10 minutes.)