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Cari colleghi,<br>
<br>
ricomincia la stagione dei seminari di ED a Roma 2 con il seguente
doppio appuntamento di Martedi e Giovedi:<br>
<br>
<h2>Martedi' 24 Settembre 2013, h 14:30, Aula D' Antoni </h2>
<h2>Diogo Oliveira e Silva (Universita' di Bonn-Hausdorff Center for
Mathematics)
</h2>
<h2>"On extremizers for Fourier restriction inequalities."<br>
<br>
This talk will focus on extremizers for a family of Fourier
restriction inequalities on planar curves. It turns out that,
depending on whether or not a certain geometric condition related
to the curvature is satisfied, extremizing sequences of
nonnegative functions may or may not have a subsequence which
converges to an extremizer. We hope to describe the method of
proof, which is of concentration compactness flavor, in some
detail. Tools include bilinear
estimates, a variational calculation, a modification of the usual
method of stationary phase and
several explicit computations.</h2>
<p><br>
</p>
<h2>Giovedi' 26 Settembre 2013, h 14:30, Aula D' Antoni </h2>
<h2>Stefan Steinerberger (Universita' di Bonn-Hausdorff Center for
Mathematics)
</h2>
<h2>"Heat flow methods for Laplacian eigenfunctions."<br>
<br>
We describe a heat flow approach to study Laplacian eigenfunctions
on smooth, compact
manifolds. This allows us to recover the currently optimal lower
bound on the size of the
nodal set (originally due to Colding & Minicozzi as well as
Sogge & Zelditch) and various
geometric statements about nodal sets. We also conjecture some
isoperimetric statements
about heat flows in Euclidean space.</h2>
<p><br>
</p>
<br>
<pre class="moz-signature" cols="72">--
Daniele Castorina
Dipartimento di Matematica - Studio 1221
Università di Roma "Tor Vergata"
Via della Ricerca Scientifica 00133 Roma
email: <a class="moz-txt-link-abbreviated" href="mailto:castorin@mat.uniroma2.it">castorin@mat.uniroma2.it</a>
tel: +390672594653</pre>
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