Mathematical Colloquium
PROGRAM
ODELJENJE ZA MATEMATIKU
MATEMATIČKOG INSTITUTA SANU
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PROGRAM ZA SEPTEMBAR 2017.
PONEDELJAK, 04.09.2017. u 14:15, Sala 301f, MI SANU, Kneza Mihaila 36
Natasa Sesum, Rutgers University, USA
PRASTARA RESENJA GEOMETRIJSKIH JEDNACINA
Prastara resenja (ancient solutions) se javljaju kao modeli singulariteta u geometrijskim jednacinama, poput "Ricci flow", "Mean curvature flow" i "Yamabe flow".
U toku predavanja cu dati pregled svojih rezultata o klasifikaciji tih resenja u nekim slucajevima. Diskutovacu i metode konstruisanja novih resenja tehnikom lepljenja vec postojecih resenja.
Zajednička sednica sa Odeljenjem za mehaniku Matematičkog instituta SANU.
PETAK, 29.09.2017. u 13:00, Sala 301f, MI SANU, Kneza Mihaila 36
Josip Globevnik, Department of Mathematics, University of Ljubljana; Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia
A complete complex hypersurface in the ball of CN
In 2015 the speaker constructed a holomorphic function on the open unit ball
BN of
CN,
N>1, whose real part is unbounded on every path in
BN of
finite length that ends on
bBN. Level sets of such functions are complete complex hypersurfaces in the ball and give a complete answer to a question of P. Yang from 1977 about the existence of bounded complete complex manifolds. In the first part of the talk we shall describe the idea of the construction. In the second part we shall describe some more recent results using similar ideas. In particular, we shall describe how to construct a complete proper holomorphic embedding from the open unit disc in
C to
B2.
Odeljenje za matematiku je opsti matematicki seminar namenjen sirokoj publici. Predavanja su prilagodjena matematicarima i onima koji zele da to postanu.
Zoran Petric, Odeljenje za matematiku Matematickog instituta SANU
