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 +====== Colloquium 2019-2020======
  
 +Unless stated otherwise, colloquia are scheduled for Thursdays 4:15-5:15pm in WH-100E with refreshments served from 4:00-4:15 pm in WH-102.
 +
 +Organizers: [[people:kargin:start|Vladislav Kargin]], [[people:malkiewich:start]], [[people:anton:start]], 
 +and [[people:adrian:start]]
 +
 +
 +------
 +
 +==== Spring 2020 ====
 +
 +**Friday January 31, 4:30-5:30pm, WH-100E (NOTE SPECIAL DATE AND TIME)**\\  //Speaker//: ** [[ https://sites.google.com/view/studenmund/home | Daniel Studenmund]] ** (University of Notre Dame) \\ //Topic//: Hidden symmetries of groups \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +Many infinite discrete groups fail to have nice properties only
 +because of obstructions that disappear on passage to a finite-index
 +subgroup. Examples of such properties include superrigidity of
 +representations of linear groups and nilpotence of groups of polynomial
 +growth. The collection of all finite-index subgroups of a fixed group
 +Gamma has algebraic and geometric structures that can reflect properties
 +of Gamma. We will discuss some of these structures, including the abstract
 +commensurator of Gamma and commensurator growth of Gamma. \\
 +</WRAP>
 +
 +**Thursday February 6, 4:15-5:15pm**\\  //Speaker//: ** [[ https://sites.google.com/site/sukhtaievs/ | Selim Sukhtaiev]] ** (Rice University) \\ //Topic//: Anderson localization for disordered quantum graphs \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +Disorder is one of the central topics in modern science.
 +In this talk, we will discuss a mathematical treatment of a particular
 +disordered system modeling localization of quantum waves in random media.
 +The model in question was introduced by P. W. Anderson in his Nobel prize
 +winning work in physics which led to a rich mathematical theory of random
 +Schrodinger operators.  We will show that the transport properties of several
 +natural Hamiltonians on metric trees with random branching numbers are
 +suppressed by disorder. This phenomenon is called Anderson localization. \\
 +</WRAP>
 +
 +**Friday February 7, 4:30-5:30pm (NOTE SPECIAL DATE AND TIME)**\\  //Speaker//: ** [[ https://lichen-math.weebly.com/ | Li Chen]] ** (University of Connecticut) \\ //Topic//: On several functional inequalities for Markov semigroups and their
 +applications \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +Markov semigroups lie at the interface of analysis, PDEs,
 +probability and geometry. Markov semigroup techniques, from both analytic
 +and probabilistic viewpoints, have important applications in the study of
 +functional inequalities coming from harmonic analysis, PDEs and geometry.
 +
 +In this talk, we discuss regularization properties of heat semigroups and
 +their applications to the study of Sobolev type inequalities, isoperimetric
 +inequalities and $L^p$ boundedness of Riesz transforms in different
 +geometric settings. Fractal examples without differential structures are
 +emphasized. Besides, we also discuss sharp and  dimension-free $L^p$ bounds
 +of singular integral operators via the martingale transform method. \\
 +</WRAP>
 +
 +**Monday February 10**\\  //Speaker//: ** [[ https://users.math.msu.edu/users/schmidt/ | Benjamin Schmidt]] ** (Michigan State University) \\ //Topic//:  Preserve one, preserve all: Aleksandrov's problem in the context of Riemannian spaces.\\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +A classical theorem of Beckman and Quarles asserts that a function
 +$F$ from a Euclidean space of dimension at least two to itself and having the
 +property that $||F(x)-F(y)||=1$ whenever $||x-y||=1$ is necessarily an isometry.
 +Aleksandrov has been credited with the problem of determining those metric
 +spaces having this "preserve one distance, then preserve all distances"
 +property.
 +
 +Examples show that Riemannian manifolds need not have this property.
 +However, it is expected that self-functions of complete Riemannian
 +manifolds that preserve a sufficiently small distance are isometries.
 +I'll formulate a precise conjecture and will discuss supporting results
 +proved jointly with Meera Mainkar. \\
 +</WRAP>
 +
 +**Thursday March 19, 4:15-5:15pm, WH-100E**\\  //Speaker//: ** [[ https://math.cornell.edu/kathryn-mann | Kathryn Mann]] ** (Cornell University) \\ //Topic//: TBA \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +TBA \\
 +</WRAP>
 +
 +**Thursday April 23, 4:15-5:15pm, WH-100E**\\  //Speaker//: ** [[ https://physics.cornell.edu/thomas-hartman | Thomas Hartman]] ** (Cornell University) \\ //Topic//: TBA \\ 
 +
 +<WRAP box 90%>
 +//Abstract//: 
 +TBA \\
 +</WRAP>
 +
 +
 +**PETER HILTON MEMORIAL LECTURE** \\ **Thursday April 30, 3:00-4:00pm, LH009 (NOTE SPECIAL TIME AND LOCATION)** \\ //Speaker:// **[[ https://web.ma.utexas.edu/users/gompf/ | Robert Gompf]]** (University of Texas at Austin) \\ //Topic:// Exotic Smooth Structures on $\mathbb R^4$
 +
 +<WRAP box 90%>//Abstract: //One of the most surprising discoveries in 4-manifold topology was the existence of smooth manifolds homeomorphic, but not diffeomorphic, to Euclidean 4-space. For fundamental reasons, this phenomenon can only occur in 4 dimensions. We will survey the subject, from its origin to recent developments regarding symmetries of such manifolds.\\
 + </WRAP>
 +
 +-----
 +
 +
 +Archive:
 +
 +/*  * [[http://www.math.binghamton.edu/dept/colloquia/old.html|1996-2013]] */
 +/*  * [[http://www.math.binghamton.edu/dept/colloquia/index.html|2013-2014]] */
 +  * [[seminars:colloquium:2014_2015|2014-2015]]
 +  * [[seminars:colloquium:y2015_2016|2015-2016]]
 +  * [[seminars:colloquium:y2016_2017|2016-2017]]
 +  * [[seminars:colloquium:y2017-2018|2017-2018]]
 +  * [[seminars:colloquium:y2018-2019|2018-2019]]
 +