• Scientific Program
• Funding
• Travel
• Accomodations

2009 Graduate Workshop on Zeta Functions, L-Functions and their Applications

June 1-4, 2009, Utah Valley University, Orem, Utah

Scientific Program

Conference Program

A rough draft of the conference program is now available. All talks will be held in rooms 213 A and B of the Student Center. A Campus Map is available.

The workshop will have three sets of lectures by experts in the field: Brian Conrey, Ram Murty, and Steve Gonek. There will also be about 16 talks by other mathematicians. The three principal lecturers will discuss the ideas of zeta functions and L-functions beginning with the Riemann zeta function and Dirichlet L-functions, Dedekind zeta functions and L-functions of number fields. They will also introduce automorphic L-functions, Artin L-functions and L-functions of varieties. Introductory concepts and results will be given in some detail. Modern topics such as the Birch-Swinnerton-Dyer conjecture and the random matrix approach to results and conjectures concerning zeta functions and L-functions will also be outlined. The workshop will strengthen students' understanding of the breadth of the subject while providing opportunities for students to interact with established researchers and for researchers to interact with each other.

Reading List

Steven Miller has very kindly put together a reading list of materials for students to read to prepare for the conference. It also includes notes and slides from the talks presented at the conference.

Brian Conrey's sequence of talks will be based on 4 papers, that he has made available at http://www.aimath.org/conrey/utah_school/.

Speakers

Principal Lecturers:

• Brian Conrey
• Ram Murty
• Steve Gonek

Additional Lecturers:

• Ji Bian, Pair Correlation and Derivative of Riemann Xi-Function.
• Tim Gillespie, A prime number theorem for Rankin-Selbert L-functions over number fields
• Sidney Graham, The ideal sieve.
• Joseph Hundley, Integral Representations: What we've found, where we're looking, and why we're looking there.
• Dimitrios Koukoulopoulos, Generalized multiplication tables
• Andrew Ledoan, Zeros of Partial Sums of the Riemann Zeta-Function.
• Steven J. Miller From Random Matrix Theory to L-functions (Download a draft of slides for the talk.)
• Takashi Nakamura, The joint universality and the generalized strong-recurrence for L-functions.
• Ameya Pitale, Special values of L-functions.
• Jeremy Rouse, Bounds for the coefficients of powers of the delta function
• Shenghao Sun, Zeta functions of Artin stacks over finite fields
• Andreas Weingartner, Zeros of Dirichlet series with periodic coefficients.
• Mohammad Zaki, Dirichlet Series for weighted convolutions of von Mangoldt function

If you wish to give a talk, please e-mail your name, affiliation, contact information, and proposed title to Roger Baker (baker@math.byu.edu).

Funding

The organizers expect to be able to fund a limited number of graduate students from non-local universities. To apply for funding, fill out this form before April 15. In addition to the funding request, you should have your advisor e-mail a letter of support to jenkins@math.byu.edu by April 15. All funding decisions will be made by May 1. Please note that in order to allow us to fund as many individuals as possible, graduate students receiving funding will be asked to share a room with one other student.

Travel

Participants should plan to arrive on Sunday evening, May 31st, and leave Thursday evening or (preferably) Friday morning.

The workshop will be held in Orem, Utah. Most participants will fly into the Salt Lake City International Airport (SLC). Once there, there are a number of ways to reach Orem, which is about 40 miles south of Salt Lake City.

Express Shuttle is a professional shuttle service which serves the Salt Lake Airport. Rates from the airport to Orem are $33.00 one way, and $66.00 round trip. Shuttles run every hour from the airport, and the shuttle will drop you off and pick you up at your destination hotel. Advance reservations are recommended.

Driving directions: From the airport exit, follow signs to Interstate 80 Eastbound. Once on Interstate 80, take the first exit to Interstate 215 Southbound (towards Provo). As you proceed south, you will merge with Interstate 15 Southbound. Proceed to Exit 269 (University Parkway), and exit the freeway. Turn left, cross over the freeway, and proceed to the first light. Turn left at the light to enter the UVU campus.

Accomodations

The conference organizers have reserved a block of rooms at the Hampton Inn and Suites, directly opposite the UVU campus, where the talks will be held. The rate for these rooms will be $89 per night for a single or double room. This rate includes breakfast.

Other local hotels:

Comfort Inn and Suites, 427 West University Parkway, Orem, UT (801)431-0405 (A short walk from the conference)

La Quinta Inn, 521 West University Parkway, Orem UT (801)226-0440 (A short walk from the conference)

Best Western Cotton Tree Inn, 2230 N. University Parkway, Provo, UT (801)373-7044 (Too far from the conference to walk. Public transportation is available.)

Organizers:

Roger Baker baker@math.byu.edu

Darrin Doud doud@math.byu.edu

Paul Jenkins jenkins@math.byu.edu

Machiel van Frankenhuijsen vanframa@uvu.edu