2 Cortona 2014

Analysis and Topology in Interaction 2014

Interaction
Conference in Cortona, Italy; June 16-21, 2014

Purpose of the conference

Topology and Analysis have had numerous fruitful points of contact and mutual application in the past. Nonetheless, we feel that a lot of further insights can be gained from a closer relationship.
We will have a bit over 20 lectures in total during the week and the general topics we had in mind include: Differential K-theory, surgery theory, foliations, elliptic operators, large scale index theory. There will be ample time and opportunity for discussions.
Cortona is a beautiful town in the Tuscan hills; the conference will be held in "Il Palazzone", a renaissance villa owned by the Scuola Normale Superiore in Pisa. In the early summer this is the perfect stimulating environment to concentrate on mathematics in general and the interaction of analysis and topolgoy in particular.
Talks commence Monday, June 16 in the morning. The conference ends around Friday, June 20, 5 pm; departure day is then Saturday, June 21. There will be no talks Wednesday afternoon. The schedule will be decided during the conference (Oberwolfach style).

Organizers: Wolfgang Lück (Bonn), Richard Melrose (MIT), Paolo Piazza (Roma), Thomas Schick (Göttingen), Shmuel Weinberger (Chicago)

Participants

Lodging

Most participants will stay in Hotel Oasi Neumann, a converted monastery with a special charme, very close to the conference venue. On Sunday, Il Pallazone will be closed (except for the participants which stay there), so that all participants which don't stay there and arrive before Monday should go to their hotel (Oasi Neumann) and not to Il Palazzone.

Program

The scientific program (abstracts) starts Monday, June 16, 9:00 and ends Friday, June 20, 18:30. To accomodate current developments, decision about the talks will only be made shortly before and during the conference (Oberwolfach style). The focus is on interaction and discussions, not all participants will be able to give a talk. There will be no talks Wednesday afternoon. There will be a social dinner on Thursday night, and we try to organize an excursion for Wednesday afternoon.

Time Monday Tuesday Wednesday Thursday Friday
9:00-9:55 Davis: Equivariant rigidity Yokura/Schürmann:Fiberwise bordism groups and their bivariant analogues Androulidakis: Singular foliations, holonomy and their use. Bei: Atiyah-Bott-Lefschetz for singularities Deeley: Geometric K-homology and Higson and Roe exact sequence Bierstone: Hsiang-Pati coordinates
10:00-10:55 Avramidi: Isometries of aspherical manifolds McClure: The L-homology fundamental class for IP spaces Rüping: Farrell-Jones conj. Antonini: R/Z-index theory Xie: Higher rho invariants and the moduli space of psc metrics Bunke: Regulators and an Index Theorem
11:30-12:25 Higson: The nc geometry of tempered representations Albin: Hodge cohomology of Cheeger spaces Land: Analytical Assembly and Index. Steimle: The space of psc-metrics. Upmeier: Differential Cohomology, Canonical Gerbes Wahl: Index theory, 2-cocycle twisted for Dirac and signature operator Kottke: Transgression to loop space, fusion and figure-of-eight
12:30-16:30 Lunchbreak Lunchbreak Lunchbreak, excursion at 14:00 Lunchbreak Lunchbreak
16:30-17:25 Freed: Matrix factorization and Chern-Simons Cappell: Unitary Representations of Three-Manifolds with Boundary no talk Goette: The Crowley-Nordström nu-Invariant 14:00 Ludwig: The Witten deformation for singular spaces and radial Morse functions
17:30-18:25 Maxim: Intersection spaces, perverse sheaves and IIB string theory Randal-Williams: Infinite loop spaces and positive scalar curvature no talk, excursion Degeratu: Analysis on quasi-asymptotically conical spaces 15:00 Rochon: The moduli space of asymptotically cylindrical Calabi-Yau manifolds

Sponsors

This is a conference of Instituto Nazionale di Alta Matematica Francesco Severi. Further support is provided by

Conference venue

cortona               palazzone

Cortona is a small town in southern Tuscany, going back Etruscan time, situated on a hill 20km North of Lake Trasimeno. Place of the meeting is the "Palazzone", a 16th century castle 2km outside of Cortona in a typical Tuscan landscape of olive and wine gardens. The Palazzone is owned by the Scuola Normale Superiore di Pisa, who rents it to the Instituto Nazionale di Alta Matematica for several meetings every year.

How to reach Cortona

Il Palazzone is located outside the massive ancient town walls of Cortona, and can be reached by a pleasant walk away from the center of Cortona (about 1,5 Km: you walk from Piazzale Garibaldi on Via Gino Severini and along the way you will find several tourist signs for reaching Il Palazzone). Here is a google map (bus stop to Palazzone). To Hotel Oasi Neumann one has to take the lower road at the last intersection a google map from bus stop in Cortona to Oasi Neumann.
By Train: There are two railway stations, Terontola-Cortona (10 km to center) and Camucia-Cortona (5 km to center), on the track from Florence to Rome (one hour from Florence, and two hours from Rome, Siena, or Pisa). Both stations are connected to Cortona by an infrequent bus, or you take a taxi. The train schedules can be obtained from the official timetable of the Italian Railroad company Trenitalia, or alternatively at the German Rail company DB, which also covers non-Italian stations.

The previously announced train strike is cancelled, we don't expect problems to reach Cortona Camucia (recommended from Florence, as closer) or Cortona Terontola (better served from Rome) by train. When looking for trains from Florence or Rome, keep in mind that they might start at different stations: Roma Tiburtina or Roma Termini, Firenze SMN, Firenze Campo di Marte.

Bus schedule for Sunday, June 15 from the train stations to the center of Cortona: from Camucia at 17:48, 19:11, from Terontola at 17:37, 19:00. For upto-date information check bus schedule (line LFSU4).

Taxi service (from abroad add ++39 before the number)
By car: Autostrada del Sole (State Highway A1, red on the map):"Valdichiana" Exit. Upon exiting the highway, take the Siena-Perugia State Road (green on the map ) and continue towards Perugia. There are 3 possible turn-offs for Cortona: Cortona via Manzano, Cortona via Laurentana and Cortona via Strada Statale 71 (State Road 71). In this latter case, at Camucia there is a deviation for Cortona and Citt?di Castello (the Umbran-Cortonese Province Road).
The closest airport is Florence, but for intercontinental flights is Rome. Another option is Pisa. From there, continue by train.
Maps: Train map; Road map; Map of Cortona; Exendend map of Cortona (including the Palazzone).
Some of the information and design of this web-page is based on the webpage for Geometric group theory, random walks and harmonic analysis, Cortona 2004, other information is based on the webpage for The interplay of Algebra and Geometry, Cortona 2009.