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--- Summary ---
* Events: Fall Semester 2015 in Analysis, Lyon
, 19th Internet Seminar: Infinite Dimensional Analysis
* Seminars by: Schloemerkemper, Takagi
* New papers by: Mugnai, Pagliardini* Modified papers by: Bousquet, Rizzi, Mazzieri, Brasco, Catino, Nardulli, Valdinoci, Ruffini, Silveira, Flores, Bonnotte, Novaga, Di Castro
--- Events ---
Fall Semester 2015 in Analysis, Lyon
Tuesday 1 sep 2015 -- Thursday 31 dec 2015
Lyon, France
From September 1 to December 31, 2015 a semester in Analysis will take place in Lyon, France, with the following main events:

- Workshop Analysis in Lyon (October 26-30, 2015); on Thursday October 29, Luigi Ambrosio will be awarded a "doctorat honoris causa" from the École normale supérieure de Lyon.

- Winter school on nonlinear function spaces in mathematics and physical sciences (December 14-18, 2015)

During the semester, the École normale supérieure de Lyon and the Université Claude Bernard Lyon 1 will host short and long term visitors. 

The scientific committee of the semester is the following:

- Stefano Bianchini (SISSA Trieste)

- Albert Fathi (École normale supérieure de Lyon)

- Alessio Figalli (University of Texas at Austin)

- Petru Mironescu (Université Lyon 1)

19th Internet Seminar: Infinite Dimensional Analysis
Tuesday 13 oct 2015 -- Saturday 4 jun 2016
Final Worshop in Casalmaggiore, Cremona (Italy), May 30th to June 4th 2016
The I-Sem is a well-established series of courses in the field of Mathematical Analysis.
It introduces master, Ph.D. students and postdocs to subjects related to functional analysis and evolution equations.
 
As usual, the course consists of three phases.

Phase 1 (October-February) The organisers provide a weekly lecture via the ISem website. The participants are expected to study the lecture notes, to solve the proposed problems, to post their remarks and questions in the website, and to post the solutions of the problems, in turn. Participants belonging to the same institution are encouraged to collaborate, possibly under the supervision of a senior local coordinator.

Phase 2 (February-May) The participants form small international groups to work on various projects which supplement the theory of Phase 1 and provide some applications. Each group is coordinated by a senior mathematician who provides bibliographical material and help.

Phase 3 (30 May-4 June, 2016) A final one-week workshop will be held at Istituto Santa Chiara,  Casalmaggiore, Cremona (Italy). There the teams will present their projects and some additional lectures  will be delivered by leading experts.

The virtual lecturers are Alessandra Lunardi, Michele Miranda and Diego Pallara and the topic is "Infinite dimensional analysis". For more details we refer to the page http:////dmi.unife.it//isem19.

--- Seminars next week ---
* Wednesday 4 nov 2015

time: 17:00
Aula Seminari Dipartimento di Matematica di Pisa 
Discrete to continuum limits of fully atomistic and quasicontinuum  systems with potentials of Lennard-Jones type
Anja Schloemerkemper 
Abstract. In recent years several engineering models, e.g., in the context of 
elasticity theory, were justified by a discrete to continuum analysis, 
i.e., by a passage from discrete-atomistic systems to continuum 
problems. I will present results with M. Schäffner in a one-dimensional 
setting with interaction potentials that are of Lennard-Jones type and 
thus have a convex-concave shape. This allows the formation of cracks. 
The focus will be on finite range interactions. In particular I will 
show a method that allows to trace the proof back to earlier proofs in 
the case of nearest and next-to-nearest neighbor interactions. We will 
discuss fully atomistic systems as well as systems which mimic some 
computational quasicontinuum method. This provides a rigorous analytical 
understanding of the quasicontinuum method and yields a condition on the 
choice of the finite element mesh that ensures a reasonable approximation.


* Thursday 5 nov 2015

time: 14:00
Scuola Normale Superiore,  Aula Bianchi Scienze
Role of spatial heterogeneity in a reaction-diffusion system modeling biological pattern formation
Izumi Takagi 
Abstract. Reaction-diffusion systems are introduced to model spontaneous formation of spatial pattern from uniform states. However, in real biological systems, morphogenetic movements often take place in spatially heterogeneous environments. In this talk we study how spatial heterogeneity affects the location of concentration points for a single equation. Based on this knowledge we then consider to what extent we can control the location of concentration points in a two-component system.

--- New Papers ---
* Mugnai, Pagliardini: Existence and multiplicity results for the fractional Laplacian in bounded domains
--- Modified Papers ---
* Catino, Mazzieri: Gradient Einstein solitons
* Bonnotte: From Knothe's Rearrangement to Brenier's Optimal Transport Map
* Di Castro, Novaga, Ruffini, Valdinoci: Nonlocal quantitative isoperimetric inequalities
* Bousquet, Brasco: Global Lipschitz continuity for minima of degenerate problems
* Flores, Nardulli: The isoperimetric problem of a complete Riemannian manifolds with a finite number of C0-asymptotically Schwarzschild ends
* Rizzi, Silveira: Sub-Riemannian Ricci curvatures and universal diameter bounds for 3-Sasakian manifolds
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