Information for participants

Accommodation

We have reserved a block of rooms at the Homewood Suites in Champaign. Please visit the reservation web site to make a reservation.

Local information

My colleague Kim Whittlesey has prepared a very useful goole maps page with local information including hotels and restaurants. It does not show the new Panera, which is on the north side of Green St just west of Wright St.

The math department web page has an map page which shows the location of the math department in relation to the Illini Union (student center).

Getting to and from the airport: my understanding is that the Homewood Suites runs a shuttle to and from the airport. You can call them 217-352-9960.

If you are going somewhere else from the airport, you can take a taxi. Usually the taxis take groups, since the airport isn't big enough to support a big taxi stand. If you want to get to the math department, ask the driver to take you to the Union. It's the building next to Altgeld Hall.

Getting to and from campus, from the Homewood Suites. Champaign-Urbana has good public transportation. The number 10 Bus (also called the Gold Route) Eastbound goes by the Homewood Suites, and then stops on Green St in front of the Union. At their web site you can find routes and schedules. I particularly commend to you the STOPwatch feature. At STOPwatch.WEB you can enter ``Kirby and Neil'' and it will list for you the upcoming buses leaving from that stop.

Meeting place and schedule

Rooms 441 and 443 Altgeld Hall have been reserved 9-5 on M--F for the week of the activity. We'll hold the talks there. Coffee will be provided in one of these rooms starting around 9, and we'll plan on beginning the formal activity at 9:30 each morning and 1:30 each afternoon.

The schedule of sessions is informal, and subject to change during the conference. Here is the schedule as set so far.

Day	Time	Speaker/organizer	Topic
Monday		Mark Behrens	P-divisible groups and the chromatic fracture cube for gl1TAF
Tuesday	9:30	Barry Walker	E-infty complex orientations of K-theory
Tuesday	1:30	Charles Rezk	Power operations
Wednesday	9:30	Andrew Salch	Displays
Wednesday	1:30	Tyler Lawson	Displays
Thursday	9:30	Jack Morava	Tate homology and p-divisible groups
Thursday	1:30	Andrew Salch	Lubin and Drinfeld towers
Friday	9:30	Nat Stapleton	Higher chromatic HKR theory
Friday	1:30

Reimbursement

This workshop is possible thanks to the support of the Midwest Topology Network, which in turn is supported by the National Science Foundation. Mike Mandell is the Chair of the coordinating committee of the MTN, which is administered by Indiana University.

Here are instructions for applying for reimbursement.

1. Fill in your expenses on the MTN web site. This is a special web page for the workshop. DO NOT initiate a new request for funding from the MTN.
2. Let me (Matthew Ando) know that you've filled in your expenses.
3. Print and fill in the pdf forms at http://www.math.uiuc.edu/~mando/pdivisible/reimbursement.
4. Make copies of these forms and all of the receipts you are submitting, and retain these copies for your records.
5. Send the forms and your receipts to Amanda McCarty at Indiana University. Make sure to include a brief cover note indicating that you were a participant in the MTN workshop on p-divisible groups.

Here are instructions for the pdf forms, from Mike Mandell.

1. W-9 Form--fill out completely. Leave the aread ``Department must enter Return Address'' blank.
2. DV Certification Sheet--just sign and date
3. Exception to Policy Form--This form is needed for people who did not stay in a hotel or who shared expenses. Most people won't need this. The instructions are: just sign.

So only the W-9 needs to be filled out completely -- the other ones just get signatures. Mail these forms to

Mandie McCarty
Indiana University
Dept of Mathematics
831 E 3rd St, Rawles Hall 123
Bloomington IN 47405

NOTE: If you are not a US Citizen or permanent resident, please follow these instructions. Ms. McCarty will contact you about the additional information required.

Questions and proposals

NOTE: This section is somewhat obsolete. A better account of the on-going conversation can be found at Barry Walker's Google site.

Salch

Here is Andrew Salch's note about why he cares (we care?) about $p$-divisible groups.

Rezk

Charles has provided some questions and links to some papers. The papers are

• The units of a ring spectrum and a logarithmic cohomology operation
  
• The congruence criterion for power operations in Morava E-theory
  
• Power operations for Morava E-theory of height 2 at the prime 2
  
• Lecture notes for a talk at the Midwest Topology seminar talk

Here are the questions.

1. What do we know about homomorphisms between derived p-divisible groups? Is there a good theory of isogenies between such? Are there even non-trivial examples of isogenies? Is there some kind of derived geometric object which represents isogenies between derived p-divisible groups?
2. I want to understand what is happening in Buchstaber-Lazarev, Dieudonné modules and $p$-divisible groups associated with Morava $K$-theory of Eilenberg-Mac Lane spaces
3. In general, you get a p-divisible group from the Morava $E_{n}$-theory of $K(Q/Z,k)$ for $k\leq n.$ What do we know about the structure of these guys? What does the Ravenel-Wilson Hopf ring calculation mean in this context?
4. I think the paper of Ando-Strickland, "Weil pairings and Morava $K$-theory" (available on Hopf) is relevant to the previous question.
5. How precise can we make the connection between the theory of H-infinity orientations (Ando-Hopkins-Strickland), and explicity class field theory (see work of Barry Walker).
6. If E is the global sections of the structure sheaf on a suitable stack of derived p-divisible groups, what can we say about the relationship between E and $gl_1(E)$. In particular, is there a map $gl_1(E) \rightarrow E$, like there is for tmf (as used in the orientation argument of Ando-Hopkins-Rezk)? If so, what can we compute about it?
7. More down to earth: it is apparent that constructing such a map is related to the existence of "Atkin operators". What can we say about these operators?