Frontiers of Mathematics
and Applications II - 2011

Summer Course UIMP 2011, Santander (Spain), August 15-19, 2011

Program
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Monday	Tuesday	Wednesday	Thursday	Friday
9:30-9:45 Welcome	/	/	/	/
9:45-10:45 Carrillo	9:30-10:30 Villani	9:30-10:30 Esteban	9:30-10:30 Esteban	9:30-10:30 Otto
11:00-12:00 Otto	10:45-11:45 Esteban	10:45-11:45 Otto	10:45-11:45 Carrillo	10:45-11:45 Carrillo
12:15-13:15 Esteban	12:00-13:00 Otto	12:00-13:00 Carrillo	12:00-13:00 Villani	12:00-13:00 Villani
13:15-15:30 Lunch	13:00-15:30 Lunch	13:00-15:30 Lunch	13:00-15:30 Lunch	13:00 Closing
15:30-16:30 Villani	15:30-17:00 Round Table	Free Afternoon	15:30-16:10 Ghoussoub	/
16:30-17:10 Figalli	17:00 Poster Session	Free Afternoon	16:10-16:50 Sire	/
17:10-17:50 Gonzalez	Poster Session	Free Afternoon	16:50-17:30 Di Francesco	/

Main Courses (4hours each)

• José Antonio Carrillo (ICREA, Barcelona, ES)
  "Aggregation versus Diffusion in Mathematical Biology"
• Maria J. Esteban (CEREMADE, Paris, FR)
  1) "Functional inequalities and the symmetry properties of the extremal functions"
  2) "Threshold for the stability of an electron in an external electromagnetic field"
• Felix Otto (MPI, Leipzig, DE)
  "Pattern formation, energy landscapes, scaling laws"
• Cédric Villani (IHP, Paris, FR)
  "Mathematical problems arising from plasma physics"

Lectures (40minutes each)

• Marco Di Francesco (Univ. of L'Aquila, IT)
  "Recent developments in nonlocal transport equations with nonlinear diffusion"
• Alessio Figalli (UT, Austin TX, USA)
  "The parabolic fractional obstacle problem"
• Nassif Ghoussoub (UBC, Vancouver, CA)
  "A fundamental functional inequality on the 2-dimensional sphere and its ramifications"
• María del Mar González (UPC, Barcelona, ES)
  "Nonlinear Integrate and Fire Neuron Models"
• Yannick Sire (LATP, Marseille, FR)
  "Nonlinear waves and free boundary problems"