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Ninth Annual Upstate Number Theory Conference

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April 27–28, 2019

A primary goal of the Upstate Number Theory Conference is to bring together the specialists from the various branches of Number Theory in the Upstate New York region and surrounding areas, and to expose the younger researchers to new and old problems in the field.

For those who plan to Arrive on Friday, April 26th, Kiran Kedlaya (UCSD & IAS) will be giving a colloquium talk at 4:30pm in Malott 251. (Parking information is below)

Registration is now open!  Go to the following link Upstate NY Number Theory RegistrationPlease note the important deadlines that are provided at the beginning of the registration.

SPEAKERS:

Abbey Bourdon, Wake Forest University

Ling Long, Louisiana State

Title:  Hypergeometric Supercongruences

Abstract:  In this talk, we will discuss supercongruences occurred to truncated hypergeometric series originated in the work and conjectures of Beukers and Coster. These congruences can be viewed as p-adic analogues of Hecke recursions satisfied by classical modular forms.  We will present the related backgrounds under the hypergeometric umbrella and discuss approaches to supercongruences including a p-adic perturbation method proposed in a joint work with Ravi Ramakrishna. The talk will be concluded by applications and new open conjectures based on the motivic setting.

Aaron Pollack, Duke University

Arul Shankar, University of Toronto

Brian Smithling, Johns Hopkins University

Title:  On Shimura varieties for unitary groups

Abstract:  Shimura varieties attached to unitary similitude groups are a well-studied class of PEL Shimura varieties (i.e., varieties admitting a moduli description in terms of abelian varieties endowed with a polarization, endomorphisms, and a level structure).  There are also natural Shimura varieties attached to (honest) unitary groups; these lack a moduli interpretation, but they have other advantages (e.g., they give rise to interesting cycles of the sort that appear in the arithmetic Gan-Gross-Prasad conjecture).  I will describe some variant Shimura varieties which enjoy good properties from both of these classes.  This is joint work with M. Rapoport and W. Zhang.

Preston Wake, IAS & Michigan State

HOUSING:

Housing information is provided by participating role, and for those requiring sign up you can do so during your registration.

Rooms have been blocked at The Hotel Ithaca for Graduate Students including those contributing talks, Invited Speakers and Organizers.  A reservation sign up sheet is provided to you during your registration.

Rooms have been blocked at Best Western University Inn for regular participants.  Please contact the Best Western directly to make a reservation by April 5th to receive the Cornell rate.  Please indicate the conference group name "Upstate NY Number Theory Seminar" when you make your reservation.

Both hotels provide a courtesy shuttle to and from campus 7 days/week.

EVENT SCHEDULE will be posted soon.

All talks and activities will be held in Malott 251, 253, 203, 207, and 224

BANQUET:

A banquet will be held the evening of April 27th in 401/403 Physical Sciences Building.  A separate registration will be available in April to sign up for the banquet.  All registrants will be notified at that time.

TRAVEL: Driving directions and travel options can be found at Visit Ithaca.  Cornell also operates a direct bus service from Manhattan to Ithaca (places are limited and fill up quickly).

PARKING:  For parking on Friday afternoon, there is a parking garage (Hoy Road Parking Garage) one block south of Malott Hall with entrances on Campus Road and Hoy Road. On the Google map, the parking garage is located between two green patches (Hoy Field and Schoellkopf Field) and will appear if you zoom in a little.   Also about a half mile east of Malott Hall, at the intersection of Tower road and Judd Falls road, there is a metered lot.

Visitors may park in most spots on campus on the weekend with no permit, in particular in the area around Malott Hall. Be careful of the areas marked with a moon: these are restricted at all times.  Also on weekends attendees can park at both Hoy Road Parking Garage and Forest Home Garage, which is less than a block north of Malott Hall (off Forest Home Drive).

For mobility or other accommodations, or just for general inquiries regarding the conference please send an e-mail to upstatenynt_math@cornell.edu.  You will also be asked during your registration.

Organizing committee: 

  • Alexander Borisov, Binghamton University
  • C. Douglas Haessig, University of Rochester
  • Jeffrey Hatley, Union College
  • Joseph Hundley, SUNY at Buffalo
  • James Ricci, Daemen College
  • Brian Hwang, Cornell University
  • Marie Langlois, Cornell University
  • Ravi Ramakrishna, Cornell University
  • David Zywina, Cornell University.

Previous conferences:

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