Geometry of Scalar Curvature 2019

Conference and Summer School in Cortona (Italy), July 8-12, 2019

Purpose of the conference and summer school

The event will gather senior and junior researchers around the theme of positive scalar curvature. Our activity has two fundamental components: We will also have plenty of time for open discussions.

Setup of the summer school

The active participants of the summer schoo are expected to
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 questions around positive scalar curvature in particular.


Because of limited capacity, participation is by invitation only. We expect particpants to be willing to actively contribute to the school part, and we give priority to younger researcher. Local expenses will be covered by the school. To apply for participation, contact Paolo Piazza (

Speakers of the Conference

Organizers: Bernhard Hanke (Augsburg), Paolo Piazza (Roma), Thomas Schick (Göttingen), Christina Sormani (City University of New York),


The conference/school is an activity of and sponsored by Scuola Matematica Interuniversitaria (SMI) and the Priority Program "Geometry at Infinity" of DFG.


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.


Talks commence Monday, July 8 in the morning. The mornings are dedicated to the research talks, during the afternoon we run the school. The conference ends around Friday, July 12, 5 pm; departure day is then Saturday, July 16.

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 an openstreet map (Piazza Garibaldi to Palazzone). To Hotel Oasi Neumann one has to take the lower road at the last intersection an openstreet map from Piazza Garibalid 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.

For train travel from Florence, Cortona Camucia is recommended (as closer); from Rome we recommend Cortona Terontola. 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.

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 inter-continental flights is Rome. Another option is Pisa. From there, continue by train.
Maps: Openstreet Map of Cortona with palazzone.