Contact Info
Pure MathematicsUniversity of Waterloo
200 University Avenue West
Waterloo, Ontario, Canada
N2L 3G1
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca
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Jason Bell, Department of Pure Mathematics, University of Waterloo
"Last talk of the seminar"
MC 5479
Farida Shahata, Department of Pure Mathematics, University of Waterloo
"More projective geometry"
Projective schemes make a comeback! Following our previous discussion on closed immersions and closed subschemes, the next natural step is to study closed embeddings of projective schemes.
As for affine schemes, we will see that a surjection of graded rings induces a closed embedding of projective schemes. Conversely, every closed subscheme of a projective scheme arises from a graded ideal, hence, is projective itself.
Seda Albayrak, Department of Pure Mathematics, University of Waterloo
"Finite Automata and Transcendence Theory"
Barbara Csima, Department of Pure Mathematics, University of Waterloo
"Every $\Delta^0_2$ degree is a strong degree of categoricity"
We sketch the proof that every $\Delta^0_2$ degree is a strong degree of categoricity. This is joint work with Keng Meng Ng.
MC 5417
Ross Willard, Department of Pure Mathematics, University of Waterloo
"Uncountable SIs in residually small varieties in a countable signature"
Mahya Ghandehari, University of Delaware
"Characterizing the Sobolev wavefront set via continuous wavelet transforms"
McKenzie Wang, McMaster University
"Examples of Ancient Flows on Bundles"
I will report on joint work with Peng Lu on constructing ancient flows on a large class of compact bundles. These examples are of type I and include both collapsed and noncollapsed cases. In special cases, we can also describe the forwards limit of these ancient flow. As a bonus of this work, we also obtain examples of such ancient flows for pseudoRiemannian metrics.
MC 5403
Hanfeng Li, SUNY Buffalo
"Mean dimension and von NeumannLueck rank"
Mean dimension is an invariant in topological dynamics, while von NeumannLueck rank is an invariant in L2invariants theory, closely related to the L2Betti numbers. Based on joint work with Bingbing Liang, I will discuss how these two invariants are related to each other.
MC 5501
Stan Xiao, University of Oxford
"Binary quartic forms with vanishing Jinvariant and the subvariety problem"
Ross Willard, Department of Pure Mathematics, University of Waterloo
"Uncountable SIs in residually small varieties in a countable signature, part II"
Continuing the proof of "the theorem" of McKenzie and Shelah, I will prove some properties of pp1types in subdirectly irreducible algebras whose monolith is (0,1)generated.
MC 5479
Jitendra Prakash, Department of Pure Mathematics, University of Waterloo
"Review of Reproducing Kernel Hilbert Spaces"
In this talk we shall review some of the basic results in the theory of reproducing kernel Hilbert spaces and their multiplier algebras.
MC 5403
Jitendra Prakash, Department of Pure Mathematics, University of Waterloo
"NevanlinnaPick Interpolation Problems"
NevanlinnaPick interpolation problem seeks a holomorphic function on the unit disk of norm at most one which interpolates two sets of points. This problem can be viewed as a question about the multiplier algebra of the Hardy space. We shall outline this operatortheoretic approach.
MC 5417
Jitendra Prakash, Department of Pure Mathematics, University of Waterloo
"Factorisation problems in RKHS"
We introduce the problem of factorisation of a positive operator P as P=UU* where U is upper triangular, and relate it to RKHS. We shall also discuss some generalisations of the classical FejerRiesz theorem.
MC 5403
Departmental office: MC 5304
Phone: 519 888 4567 x33484
Fax: 519 725 0160
Email: puremath@uwaterloo.ca