Learn to summarize and present yourself and your research in a short time.

This seminar is aimed at intern students who are not native speakers of English, but all are welcome to attend.

Language: English. Venue: c600B. No need to register.

Prof Mark Tame, Stellenbosch University, South Africa

Abstract: Motivated by generalizations of the Ginsburg-Landau energy and the diffusion equation in which derivatives are replaced by fractional derivatives, Caffarelli, Roquejoffre, and Savin studied the minimizers of a fractional perimeter functional on sets involving a parameter between 0 and 1.  Such minimizers have to satisfy a pointwise condition on their boundary, which can be used to define a notion of nonlocal mean-curvature.  This definition only holds for surfaces which are the boundary of a set.  I will describe how to define a nonlocal notion of mean-curvature for any surface by introducing a fractional area functional and considering its minimizers.  Moreover, I will describe how these ideas can be extended to curves by defining a fractional length and an associated nonlocal curvature for a curve.

Speaker: Dr. Tiago J. Arruda, University of São Paulo, Brazil
Language: English

Speaker: Prof. Romain Bachelard, University of São Paulo, Brazil
Language: English

Discussion on recent articles by D. Harlow and  H. Ooguri "Symmetries in quantum field theory and quantum gravity" and "Constraints on symmetry from holography" with Linqing Chen leading the discussion.

Dr. Masahiro Fukuda, Postdoc, Duke-NUS Medical School, Language: English

Speaker: Dr. Kea Joo Lee, Korea Brain Research Institute

Speaker: Dr. Jinseop Kim, Korea Brain Research Institute

Language: English