[Csdmsemo] Mathematics Seminars--Week of January 28, 2019

[Kristina Phillips]

INSTITUTE FOR ADVANCED STUDY

School of Mathematics

Princeton, NJ 08540

 

Mathematics Seminars

Week of January 28, 2019

 

 

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To view mathematics in titles and abstracts, please click on the talk's
link.

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Monday, January 28

 

Computer Science/Discrete Mathematics Seminar I

Topic:                    PCP and Delegating Computation: A Love Story.

Speaker:              Yael Tauman Kalai, Microsoft Research

Time/Room:       11:00am - 12:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=128891>
http://www.math.ias.edu/seminars/abstract?event=128891

 

Seminar on Theoretical Machine Learning

Speaker:              No Seminar

Time/Room:       12:15pm - 1:45pm/No Seminar

 

Members' Seminar

Topic:                    Minimal hypersurfaces in manifolds of finite
volume

Speaker:              Yevgeny Liokumovich, Massachusetts Institute of
Technology; Member, School of Mathematics

Time/Room:       2:00pm - 3:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=129410>
http://www.math.ias.edu/seminars/abstract?event=129410

 

Symplectic Dynamics/Geometry Seminar

Topic:                    To be announced

Speaker:              Guangbo Xu, Simons Center for Geometry and Physics

Time/Room:       3:30pm - 5:00pm/Simonyi Hall 101

 

 

 

Tuesday, January 29

 

Computer Science/Discrete Mathematics Seminar II

Topic:                    A Regularity Lemma with Modifications

Speaker:              Guy Moshkovitz, Member, School of Mathematics

Time/Room:       10:30am - 12:30pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=129127>
http://www.math.ias.edu/seminars/abstract?event=129127

 

Variational Methods in Geometry Seminar

Topic:                    Minmax minimal surfaces in arbitrary codimension
with

Speaker:              Tristan Rivière, ETH Zürich; Member, School of
Mathematics

Time/Room:       1:00pm - 3:00pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=141185>
http://www.math.ias.edu/seminars/abstract?event=141185

 

Variational Methods in Geometry Seminar

Topic:                    The systole of large genus minimal surfaces in
positive Ricci curvature

Speaker:              Henrik Matthiesen, University of Chicago

Time/Room:       3:30pm - 5:30pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=141182>
http://www.math.ias.edu/seminars/abstract?event=141182

 

 

 

Wednesday, January 30

 

BYOP at Lunch Working Group

Time/Room:       12:30pm - 1:30pm/Dilworth Room

 

Working Group on Geometric Applications of the Langlands Correspondence

Speaker:              Daniel Litt, University of Georgia; Member, School of
Mathematics

Time/Room:       3:30pm - 5:30pm/Simonyi Hall 101

 

Mathematical Conversations

Topic:                    A mathematical conjecture about crumpling paper

Speaker:              Francesco Maggi, University of Texas; Member, School
of Mathematics

Time/Room:       6:00pm - 7:30pm/Dilworth Room

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=136630>
http://www.math.ias.edu/seminars/abstract?event=136630

 

 

 

Thursday, January 31

 

Venkatesh Working Group

Time/Room:       10:00am - 12:00pm/Simonyi Hall 101

 

Analysis Seminar

Topic:                    TBD

Speaker:              Guher Camliyurt, Member, School of Mathematics

Time/Room:       1:00pm - 2:00pm/Simonyi Hall 101

 

Joint IAS/Princeton University Number Theory Seminar

Topic:                    Upper bounds for constant slope p-adic families of
modular forms

Speaker:              John Bergdall, Bryn Mawr College

Time/Room:       4:30pm - 5:30pm/Simonyi Hall 101

Abstract Link:      <http://www.math.ias.edu/seminars/abstract?event=142890>
http://www.math.ias.edu/seminars/abstract?event=142890

 

 

 

1 PCP and Delegating Computation: A Love Story. 
   Yael Tauman Kalai 




In this talk, I will give an overview on how PCPs, combined with
cryptographic tools, are used to generate succinct and efficiently
verifiable proofs for the correctness of computations. I will focus on
constructing (computationally sound) *succinct* proofs that are
*non-interactive* (assuming the existence of public parameters) and are
*publicly verifiable*. In particular, I will focus on a recent result with
Omer Paneth and Lisa Yang, where we show how to construct such proofs for
all polynomial time computations, based on an efficiently falsifiable
decisional assumption on groups with bilinear maps. Prior to this work, this
was only known under non-standard assumptions.

http://www.math.ias.edu/seminars/abstract?event=128891

2 Minimal hypersurfaces in manifolds of finite volume 
   Yevgeny Liokumovich 




We show that every complete Riemannian manifold of finite volume contains a
complete embedded minimal hypersurface of finite volume. This is a joint
work with Gregory Chambers.

http://www.math.ias.edu/seminars/abstract?event=129410

3 A Regularity Lemma with Modifications 
   Guy Moshkovitz 




Given an arbitrary graph, we show that if we are allowed to modify (say) 1%
of the edges then it is possible to obtain a much smaller regular partition
than in Szemeredi's original proof of the regularity lemma. Moreover, we
show that it is impossible to improve upon the bound we obtain. 

The upper bound can be used to reprove a famous result of Fox on the removal
lemma [Ann. of Math. '11], whereas the lower bound served as a key step
towards the solution of the optimality question for the hypergraph
regularity lemma. Time permitting, we will give detailed sketches of both
the upper and lower bound proofs. 

Joint work with Asaf Shapira.

http://www.math.ias.edu/seminars/abstract?event=129127

4 Minmax minimal surfaces in arbitrary codimension with 
   Tristan Rivière 




We shall present a procedure which to any admissible family of immersions of
surfaces into an arbitrary closed riemannian manifolds assigns a smooth,
possibly branched, minimal surface whose area is equal to the width of the
corresponding minmax and whose Morse index is bounded by the dimension of
the familly. We will discuss the question of bounding the Morse index +
Nullity from below as well as possible extensions of this procedure to more
general families.

http://www.math.ias.edu/seminars/abstract?event=141185

5 The systole of large genus minimal surfaces in positive Ricci curvature 
   Henrik Matthiesen 




We prove that the systole (or more generally, any k-th homology systole) of
a minimal surface in an ambient three manifold of positive Ricci curvature
tends to zero as the genus of the minimal surfaces becomes unbounded. This
is joint work with Anna Siffert.

http://www.math.ias.edu/seminars/abstract?event=141182

6 A mathematical conjecture about crumpling paper 
   Francesco Maggi 




Understanding the mechanics of crumpling, i.e. of isotropically compressing
thin elastic sheets, is a challenging problem of theoretical and applied
interest. We will present an interesting conjecture on the order of
magnitude of the elastic energy per unit thickness needed to achieve
crumpling. Half of the conjecture has been solved by drawing inspiration
from the observation of the creases appearing on real-world crumpled sheets
of paper. The other half is considered totally open, and several clues
indicate that its solution will require finding new, original ideas, and,
indeed, many real-world sheets of paper have been crumpled in their search.

http://www.math.ias.edu/seminars/abstract?event=136630

7 Upper bounds for constant slope p-adic families of modular forms 
   John Bergdall 




This talk is concerned with the radius of convergence of p-adic families of
modular forms --- q-series over a p-adic disc whose specialization to
certain integer points is the q-expansion of a classical Hecke eigenform of
level p. Numerical experiments by Gouvêa and Mazur in the nineties predicted
the general existence of such families but also suggested, in spirit, the
radius of convergence in terms of an initial member. Buzzard and Calegari
showed, ten years later, that the Gouvêa--Mazur prediction was false. It has
since remained open question how to salvage it. Here we will present some
recent theoretical results towards such a salvage, backed up by numerical
data.

http://www.math.ias.edu/seminars/abstract?event=142890

IAS Math Seminars Home Page:
http://www.math.ias.edu/seminars

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