Category Archives: News

Ph.D. Course in Padua (via zoom): Introduction to floer homology

Title of the course: “Introduction to Floer Homology”

Lecturer: Marco Mazzucchelli (CNRS & ENS Lyon)

Syllabus:

Lecture 1: Crash course in algebraic topology: singular homology and cohomology, DeRham cohomology.

Lecture 2: The Morse homology theorem.

Lecture 3: Variational principle for Hamiltonian periodic orbits, action spectrum, the Conley-Zehnder index.

Lecture 4: Construction of the Floer homology groups for aspherical manifolds I.

Lecture 5: Construction of the Floer homology groups for aspherical manifolds II, proof of the Arnold conjecture on the fixed points of generic Hamiltonian diffeomorphisms.

Lecture 6: Bott’s iteration formula for the Conley-Zehnder index, proof of the Conley conjecture on the periodic points of generic Hamiltonian diffeomorphisms of aspherical manifolds. Bonus arguments: Floer homology for monotone manifolds, products in Floer homology, spectral invariants, symplectic homology, etc.

Timetable of the lectures (12 hrs):

Friday Sept 25, 2020, 10:00 – 12:00

Monday Sept 28, 2020, 10:00 – 12:00

Tuesday Sept 29, 2020, 10:00 – 12:00

Wednesday Sept 30, 2020, 10:00 – 12:00

Thursday Oct 1st, 2020, 16:30 – 18:30

Friday Oct 2, 2020, 10:00 – 12:00

Note: The course will be held online via Zoom (the link to the meeting will be send to the participant some day before the start of the course)

Register at the following link:https://prev-www.math.unipd.it/userlist/subscribe/?idlist=457

Tenure Track Assistant Professor in Dynamical Systems at EPFL Lausanne

The School of Basic Sciences (Physics, Chemistry and Mathematics) at EPFL -Lausanne seeks to appoint a Tenure Track Assistant Professor of Mathematics with research interests in the theory of dynamical systems, broadly construed. Indicative areas of interest include, but are not limited to: algebraic/analytical dynamics, dynamics and geometry, ergodic theory, locally homogeneous spaces.

https://www.epfl.ch/about/working/faculty-position-in-mathematics/

Applications should be uploaded (as PDFs) by September 30, 2020 to

https://facultyrecruiting.epfl.ch/positiondetails/23691270

Enquiries may be addressed to:
Prof. Victor Panaretos
Chair of the Search Committee
E-mail[email protected]

For additional information, please consult www.epfl.chsb.epfl.chmath.epfl.ch

Il Gruppo UMI DinAmicI è realtà!

Abbiamo appreso che la Commissione Scientifica dell’UMI ha approvato la nostra richiesta di creazione del Gruppo UMI proposto dai DinAmicI. L’inizio ufficiale delle attività del gruppo è fissato a giorno 1 settembre.

Il primo passo sarà l’elezione degli organi ufficiali del gruppo, le elezioni saranno indette dal Presidente dell’UMI nei prossimi mesi. Vi faremo sapere!

The Italian Mathematical Union has recently approved our application for the creation of “Gruppo UMI DinAmicI”, a unit inside the Union. The activities of the group will officially start on September, 1st.

First of all we will have to elect the official administrative organs of the group. We will let you know when the elections take place.

PhD and postdoc positions at Bath and Utrecht

A PhD position in the semiclassical theory of subelliptic operators is being advertised at the University of Bath (UK). The prospective advisor is Véronique Fischer. The student will be part of the project titled “Quantum Limits for sub-elliptic operators“:
https://www.findaphd.com/phds/project/quantum-limits-for-sub-elliptic-operators/?p122901
As part of the same project there is also a call for Postdoc (Research Associate):  https://www.bath.ac.uk/jobs/Vacancy.aspx?ref=CC7693
The deadline for both applications is Sunday, September 13, 2020.

Another position is being advertised in contact and symplectic topology at the University of Utrecht (NL).  The prospective advisor is Álvaro del Pino. The student will be part of the project “Tangent distributions and h-principles“: https://gqt.nl/wp-content/uploads/sites/229/2020/06/Announcement.pdf
The deadline for the application is Saturday, August 1, 2020.

Call for PhD and professor in Dynamical Systems at the University of Groningen

The Bernoulli Institute of the University of Groningen (NL) is advertising a 4-year PhD position in dynamical systems, to work on the combination of multi-timescale dynamical systems and networks. The application deadline is August 31, for more information please refer to https://www.rug.nl/about-ug/work-with-us/job-opportunities/?details=00347-02S0007TEP

There is also a call for an Assistant Professor (tenure track) or (preferably) Associate Professor, with a strong track record in Dynamical Systems. The deadline for the application is August 16. For more information please refer to https://www.rug.nl/about-ug/work-with-us/job-opportunities/?details=00347-02S0007RTP

Both positions will be embedded in the Dynamical Systems, Geometry and Mathematical Physics group.