Seminars & Events for 2017-2018

November 21, 2017
4:00pm - 5:00pm
Uniqueness of blow-ups and asymptotic decay for Dirichlet energy minimizing multi-valued functions

*Please note special date and time.   In the early 1980's Almgren developed a theory of Dirichlet energy minimizing multi-valued functions, proving that the Hausdorff dimension of the singular set (including branch points) of such a function is at most (n-2) where n is the dimension of its domain.

Speaker: Neshan Wickramasekera, Cambridge University
Location:
Fine Hall 801
November 21, 2017
4:30pm - 5:30pm
Noether-Lefschetz locus on singular threefolds

The classical Noether-Lefschetz theorem says that any curve in a very general surface X in P^3  of degree d \geq 4 is a restriction of a surface in the ambient space, in particular the Picard number of X is 1 (a property is very general if it holds in the complement of countably many proper closed subvarieties).

Speaker: Antonella Grassi, UPenn
Location:
Fine Hall 322
November 21, 2017
4:45pm - 5:45pm
Joint Equidistribution of CM Points

A celebrated theorem of Duke states that Picard/Galois orbits of CM points on a complex modular curve equidistribute in the limit when the absolute value of the discriminant goes to infinity. 

Speaker: Ilya Khayutin, Princeton University
Location:
IAS Room S-101
November 27, 2017
3:00pm - 4:00pm
Stochastic homogenization: renormalization, regularity, and quantitative estimates

There has been a lot of work in recent years on the problem of understanding the behavior of solutions of PDEs with random coefficients, with most of the work focused on linear elliptic equations in divergence form.

Speaker: Scott Armstrong, Courant Institute of Mathematical Sciences, New York University
Location:
Fine Hall 314
November 27, 2017
4:00pm - 5:00pm
TBA-Yu-Shen Lin
Speaker: Yu-Shen Lin, CMSA, Harvard University
Location:
IAS Room S-101
November 27, 2017
4:00pm - 5:00pm
Two problems involving breakup of a liquid film

Understanding the breakup of a liquid film is complicated by the fact that there is no obvious instability driving breakup: surface tension favors a film of uniform thickness over a deformed one. Here, we identify two mechanisms driving a film toward (infinite time) pinch-off.

Speaker: Jens Eggers, Bristol University
Location:
Fine Hall 214
November 28, 2017
4:30pm - 5:30pm
TBA-Xudong Zheng
Speaker: Xudong Zheng , Johns Hopkins
Location:
Fine Hall 322
November 28, 2017
4:30pm - 5:30pm
TBA - Dr. Efi Efrati
Speaker: Dr. Efi Efrati, Weizmann Institute
Location:
Jadwin Hall 343
November 29, 2017
2:30pm - 3:30pm
TBA-Gal Mishne
Speaker: Gal Mishne, Yale University
Location:
Fine Hall 224
November 29, 2017
3:00pm - 4:00pm
TBA-Timo Seppalainen
Speaker: Timo Seppalainen, University of Wisconsin
Location:
Fine Hall 214
November 29, 2017
4:30pm - 5:30pm
Regularity of area-minimizing surfaces in higher codimension: old and new

The theory of integral currents, developed by Federer and Fleming in the 60s, gives a powerful framework to solve the Plateau's problem in every dimension and codimension. The interior and boundary regularity theory for the codimension

one case is  rather well understood, thanks to the work of several mathematicians in the 60es, 70es and 80es.

 

Speaker: Camillo De Lellis, Institut fuer Mathematik Universitaet Zuerich
Location:
Fine Hall 314
November 30, 2017
12:30pm - 1:30pm
TBA-Amina Abdurrahman
Speaker: Amina Abdurrahman, Princeton University
Location:
Fine Hall 110
November 30, 2017
1:30pm - 3:30pm
TBA-Joel Moreira
Speaker: Joel Moreira, Northwestern University
Location:
Fine Hall 1001
November 30, 2017
3:00pm - 4:00pm
TBA-Suyoung Choi
Speaker: Suyoung Choi, Ajou University/Northeastern University
Location:
Fine Hall 110
November 30, 2017
4:30pm - 5:30pm
Locally symmetric spaces: p-adic aspects

p-adic period spaces have been introduced by Rapoport and Zink as a generaliza- tion of Drinfeld upper half spaces and Lubin-Tate spaces. Those are open subsets of a rigid analytic p-adic flag manifold. An approximation of this open subset is the so called weakly admissible locus obtained by removing a profinite set of closed Schubert varieties.

Speaker: Laurent Fargues, CNRS/IMJ Paris
Location:
IAS Room S-101
November 30, 2017
4:30pm - 5:30pm
TBA-Serguei Denissov
Speaker: Serguei Denissov, University of Wisconsin
Location:
Fine Hall 322
November 30, 2017
4:30pm - 5:30pm
Irreducible SL(2,C)-representations of integer homology 3-spheres

We prove that the splicing of any two non-trivial knots in the 3-sphere admits an irreducible SU(2)-representation of its fundamental group. This uses instanton gauge theory, and in particular a non-vanishing result of Kronheimer-Mrowka and some new results that we establish for holonomy perturbations of the ASD equation.

Speaker: Raphael Zentner, University of Regensburg (Germany)
Location:
Fine Hall 314
December 4, 2017
3:00pm - 4:00pm
TBA-Maria Colombo
Speaker: Maria Colombo, ETH Zürich
Location:
Fine Hall 314
December 5, 2017
3:00pm - 4:30pm
Attractors: "when inertial waves meet topography..."
Speaker: Laure Saint-Raymond, Minerva Distinguished Visitor, Princeton University and Professor, École Normale Supérieure de Lyon
Location:
Fine Hall 1201
December 5, 2017
4:30pm - 5:30pm
Bulk-Edge Duality and Complete Localization for Chiral Chains

We study one dimensional insulators obeying a chiral symmetry in the single-particle picture where the Fermi energy is assumed to lie within a mobility gap. Topological invariants are defined for infinite (bulk) or half-infinite (edge) systems, and it is shown that for a given bulk system with nearest neighbor hopping, the invariant is equal to the induced-edge-system's invariant.

Speaker: Jacob Shapiro, ETH
Location:
Jadwin Hall 343

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