UCSD

Tue 28 Feb 2017, 10:00am
SPECIAL
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

Representations in Arithmetic: Adic spaces (Lecture 3)

ESB 4127
Tue 28 Feb 2017, 10:00am11:00am
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UBC Math

Tue 28 Feb 2017, 3:30pm
Diff. Geom, Math. Phys., PDE Seminar
ESB 2012

Optimal Mass transport as a natural extension of classical mechanics to the manifold of probability measures

ESB 2012
Tue 28 Feb 2017, 3:30pm4:30pm
Abstract
I will describe how deterministic and stochastic dynamic optimal mass transports are to Mean Field Games what the classical calculus of variations offers to classical mechanics.
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UCSD

Tue 28 Feb 2017, 3:30pm
SPECIAL
Number Theory Seminar
ESB 4127

The unreasonable effectiveness of padic Hodge theory

ESB 4127
Tue 28 Feb 2017, 3:30pm4:30pm
Abstract
As its name is meant to suggest, the subject of padic Hodge theory was historically concerned with the relationship between different cohomology theories attached to padic algebraic varieties. Within padic Hodge theory, the concept of a perfectoid space (discussed in my PIMS lectures) arose quite naturally and has led to improvements in the subject which were in some sense "expected".
However, it also had several "unexpected" applications rather far afield. We'll survey three of these: Deligne's weightmonodromy conjecture (Scholze); Galois representations associated to torsion cohomology of arithmetic groups (Scholze, CaraianiScholze); and the direct summand conjecture of commutative algebra (Andre, Bhatt).
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UBC Zoology

Wed 1 Mar 2017, 3:00pm
Probability Seminar
ESB 2012

Fixation Probability when Selection Occurs in Both Haploid and Diploid phases

ESB 2012
Wed 1 Mar 2017, 3:00pm4:00pm
Abstract
Joint work with Kazuhiro Bessho. Classical population genetic theory generally assumes either a fully haploid or fully diploid life cycle. However, many
organisms exhibit more complex life cycles, with both freeliving haploid and diploid stages. Here we ask what the probability of fixation is for selected alleles in organisms with selection acting on both haploid and diploid phases of a sexual life cycle, based on both a Moran model and a Wright–Fisher model. Applying a branching process approximation, we obtain an accurate fixation probability assuming that the population is large and the net effect of the mutation is beneficial. We also find the diffusion approximation for the fixation probability, which is accurate even in small populations and for deleterious alleles, as long as selection is weak. These fixation probabilities from branching process and diffusion approximations are similar when selection is weak for beneficial mutations that are not fully recessive. In many cases, particularly when one phase predominates, the fixation probability differs substantially for haploiddiploid organisms compared to either fully haploid or diploid species.
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Adjunct Professor, UBC Mathematics and CEO Midvale Applied Mathematics

Wed 1 Mar 2017, 3:00pm
Institute of Applied Mathematics / PIMS Seminars and PDF Colloquiums
Michael Smith Labs, Room 101

The Promising Future of Mathematics in Industry

Michael Smith Labs, Room 101
Wed 1 Mar 2017, 3:00pm4:00pm
Abstract
The diversity of mathematics and roles of mathematicians in industry has expanded greatly over the last decade. The first part of this talk is a survey of work that I have done as an applied mathematician working in industry. Areas include modeling groundwater flow for soil remediation, image editing, contentbased image search, and machine learning for searching large satellite images.
The second part of this talk will focus on a particular use of mathematics in indexing high dimensional floatingpoint vectors using a search engine intended for text. The result is a database search method that can combine "fuzzy" data, such as image textures or audio recordings, with textbased data such as document titles or descriptive keywords in an infrastructure easy for a software engineer to build and maintain.
The ultimate purpose of this talk is to highlight areas of mathematics of particular use to my work in industry, and hence of particular interest to future industrial practitioners.
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Paris 7

Thu 2 Mar 2017, 3:30pm
Number Theory Seminar / PIMS Seminars and PDF Colloquiums
ESB 4127

TBA

ESB 4127
Thu 2 Mar 2017, 3:30pm5:00pm
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University of California, San Diego

Fri 3 Mar 2017, 3:00pm
SPECIAL
Department Colloquium
ESB2012

PIMSUBC Distinguished ColloquiumSequences: random, structured or something in between

ESB2012
Fri 3 Mar 2017, 3:00pm4:00pm
Abstract
There are many fundamental problems concerning sequences that arise in many areas of mathematics and computation. Typical problems include finding or avoiding patterns;
testing or validating various `randomlike’ behavior; analyzing or comparing different statistics, etc. In this talk, we will examine various notions of regularity or irregularity for sequences and mention numerous open problems.
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Stanford University

Mon 6 Mar 2017, 3:00pm
Algebraic Geometry Seminar
MATX 1102

Galois cyclic covers of the projective line and pencils of Fermat hypersurfaces

MATX 1102
Mon 6 Mar 2017, 3:00pm4:00pm
Abstract
Classically, there are two objects that are particularly interesting to algebraic geometers: hyperelliptic curves and quadrics. The connection between these two seemingly unrelated objects was first revealed by M. Reid, which roughly says that there’s a correspondence between hyperelliptic curves and pencil of quadrics. I’ll give a brief review of Reid’s work and then describe a higher degree generalization of the correspondence.
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Note for Attendees
This is a talk in the new BC Data Colloquium.
Convene beforehand for PIMS tea in the PIMS lounge at 14:45