Talia Fernós
Einstein Institute of Mathematics
Postdoctoral Fellow



Contact Information:

office: 308 Manchester House

e-mail: fernos@math.huji.ac.il

snail mail: Einstein Institute of Mathematics
                  Edmond J. Safra Campus, Givat Ram
                  The Hebrew University of Jerusalem
                  Jerusalem, 91904, Israel

office phone: +972-(0)52-615-3442

fax: +972-(0)2-563-0702




Research Interests:

*Rigidity, Malleability, and their interactions: Property (T), Haagerup property, their cousins and friends.

*Geometry and Group Theory: Isometric actions on non-positively curved spaces, Mapping Class groups, Teichmüller space, ...

*Dynamics: Orbit Equivalence, $\ell^2$-Betti Numbers





Publications and Preprints:

    Relative Property (T) and Linear Groups
          Les Annales de L’Institut Fourier
          56 no. 6 (2006), p. 1767-1804
               * arXiv link
               * AIF link
         

  Relative Property (T), Linear Groups, and Applications
          Ph.D. Thesis
          Univeristy of Illinois at Chicago


Relative Property (T) and Vanishing of the first the first $\ell^2$-Betti number
          Accepted to Bulletin for the Belgian Mathematical Society, 6 pages


Relative Property (T) and Orbit Equivalence
          A survey on some recent developments in the study of Orbit Equivalence
          available upon request, 26 pages


Reduced 1-cohomology and relative property (T)
          Shalom reduced cohomology characterization of (T) doesn’t extend to relative (T).
          Joint work with Alain Valette, available upon request, 20 pages

              

Conferences and Workshops:

*Workshop on Analysis on Groups, Spring 2008
    http://www.math.hawaii.edu/~erik/workshops/2008_March/general.html
    Co-organized with: Guihua Gong, Cornel Pasnicu, and Valentin Keyantuo, Erik Guentner, Romain Tessera,
                                   Mark Sapir and Guoliang Yu

*Workshop on CAT(0) Spaces and Affine Buildings Winter 2010
    webiste
    Co-organized with: Tsachik Gelander and Yair Glasner

*The Haagerup Property and Yu's Property A (in the works for 2010-2011)
    Co-organized with: Graham Niblo and Piotr Nowak





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