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PRODID:-//Mathematics Department//NONSGML mathical.php//EN
X-WR-CALNAME:Mathematics Department
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e166b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200428T160000
DTEND;TZID=America/New_York:20200428T170000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Grant Molnar: Formal Summation of Divergent Series: An
Algebraic Approach
DESCRIPTION:A "summation'' is an operator akin to the map that takes
a series to the limit of its partial sums. We prove that summations
may be thought of as deficient ring homomorphisms\, and distinguish
a unique "closure'' for every summation taking values in an
algebraically closed field. This is joint work with Robert Dawson.
LOCATION:Zoom Meeting\, Zoom Meeting ID: 917 9137 7814
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1788@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200430T153000
CATEGORIES:Math Colloquium
SUMMARY:Lee Kennard: Torus actions and positive curvature
DESCRIPTION:In the 1930s\, H. Hopf conjectured that an
even-dimensional Riemannian manifold with positive sectional
curvature has positive Euler characteristic. In joint work with M.
Wiemeler and B. Wilking\, this is confirmed in the special case
where the isometry group has rank at least five. Previous results of
this form required the rank to grow to infinity as a function of the
manifold dimension. The main new tools is a structural result for
representations of tori with the special property that all isotropy
groups are connected. Such representations are surprisingly rigid\,
and we analyze them using only elementary techniques.
LOCATION:Zoom Colloquium\, Zoom ID 999-4108-2877
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e186c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200505T143000
DTEND;TZID=America/New_York:20200505T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:Owen Biesel: Toward a universal theory of discriminant
algebras
DESCRIPTION:For a finite separable degree-n field extension in
characteristic other than 2\, its discriminant field controls
whether its Galois group is contained in A_n. In the last decade\,
Rost\, Deligne\, and Loos have suggested generalizations of the
discriminant field to a "discriminant algebra" defined for locally
free constant-rank algebras over a base ring. We present a new
construction of a discriminant algebra obtained from a generalized
notion of "Galois group"\, show that it satisfies the properties
outlined by Deligne\, and discuss its relation to other
constructions by Rost and Loos. This is joint work with Alberto
Gioia.
LOCATION:Kemeny 343
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BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1950@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200507T153000
CATEGORIES:Math Colloquium
SUMMARY:Ivana Bozic: Uncovering the laws of cancer evolution through
mathematics
DESCRIPTION:Cancer is the result of a stochastic evolutionary
process characterized by the accumulation of mutations that are
responsible for tumor growth\, immune escape\, and drug resistance\,
as well as mutations with no effect on the phenotype. Mathematical
modeling can be used to describe the dynamics of tumor cell
populations and to obtain insights into the hidden evolutionary
processes leading to cancer. I will present recent approaches that
use deterministic and stochastic models of cancer evolution to
uncover how the genomic features of a patient’s cancer relate to
individual disease kinetics in chronic lymphocytic leukemia and
colorectal cancer.
LOCATION:Zoom ID 923-1373-5431
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1a3b@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200515T163000
CATEGORIES:Special Event
SUMMARY: Celebration of Women in Mathematics: Inspiring Film and
Discussion
DESCRIPTION:In 2014\, Maryam Mirzakhani electrified the world
mathematical community by becoming the first woman\, and also the
first Iranian\, ever to win the Fields Medal\, the highest prize in
mathematics. Sadly\, she passed away only three years later at the
age of 40. Her birthday\, May 12\, has been named an annual
international day of celebration of women in mathematics. Secrets of
the surface\, the Mathematical Vision of Maryam Mirzakhani is a very
recent film of George Csicsery. Filmed in Canada\, Iran\, and the
United States\, it presents both Maryam Mirzakhani's brilliant
mathematical vision and her vibrant life as mathematician\,
inspiring teacher/mentor\, and mother.\n\nFirst view the film at a
time of your convenience\, then join the informal online
discussion:\n\nDiscussion May 15\, 4:30 p.m.
EDT\nhttps://dartmouth.zoom.us/j/95857664713\nMeeting ID: 958 5766
4713\n\nAsma Hassannezhad (University of Bristol)\, an Iranian woman
in mathematics\, and attendees will discuss the film and share their
perspectives.\n\nTo gain access to the film\, which has not yet been
publicly released\, please go to the request for screening
authorization and fill in the form. After putting in your contact
information please select “Individual” under “Type of
Screening” as well as the date (on or before May 15) on which
you’d like to view the film. Under Organizer name please put Petra
Bonfert-Taylor and Carolyn Gordon.
LOCATION:Online discussion using Zoom\, Meeting ID: 958 5766 4713
URL:http://www.math.dartmouth.edu//activities/special-events/
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1b41@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200518T180000
CATEGORIES:Kemeny Lecture
SUMMARY:Richard Schwartz: Doing Geometry with Graphical User
Interfaces
DESCRIPTION:In this talk I will show a sample of graphical\nuser
interfaces I have made which either illustrate\nconcepts in geometry
or else give geometrical slants\nto concepts a little bit outside of
geometry. The\ntopics will range from graph theory to number
theory\nto computational geometry. This first talk will set\nthe
theme for the rest of the series\, in which I use\nthese kinds of
interfaces to prove more serious results\nin mathematics.
LOCATION:Online talk using Zoom\, Zoom ID 948-1220-6582
URL:https://math.dartmouth.edu/activities/kemeny-lectures/2020-Schwartz.php
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BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1c1a@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200519T153000
CATEGORIES:Kemeny Lecture
SUMMARY:Richard Schwartz: Polygonal outer billiards
DESCRIPTION:Outer billiards is a game played in the plane\,\non the
outside of a convex shape\, that is similar\nin spirit to ordinary
billiards. When the shape\nis a polygon\, the game often produces
beautiful\ntilings of the plane. After presenting some
general\ninformation about this topic\, I will concentrate\non my
solution of the so-called Moser-Neumann\nproblem\, which asks
whether one can have an unbounded\norbit for an outer billiards
system. (Yes.) I will illustrate\nmany facets of my proof with
demos from a graphical\nuser interface I made in order to study this
problem.
LOCATION:Online talk using Zoom\, Zoom ID 995-0145-8871
URL:https://math.dartmouth.edu/activities/kemeny-lectures/2020-Schwartz.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1cf5@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200520T153000
CATEGORIES:Kemeny Lecture
SUMMARY:Richard Schwartz: The Spheres of Sol
DESCRIPTION:(Part of this is joint work with my student
Matei\nCoiculescu.) The 3-dimensional solvable Lie group\nSOL is
probably the strangest of the 8 Thurston\ngeometries. Up until
recently\, the metric spheres in\nSol were quite mysterious\, and it
was not even known\nif they are topological spheres. Using a
Hamiltonian\nsystems approach introduced years ago by Matt
Grayson\,\nand some tricks of our own\, we exactly characterize\nthe
cut locus of SOL in terms of the arithmetic-geometric\nmean of
Gauss\, and as a byproduct prove that the metric\nspheres in SOL are
all topological spheres\, smooth away\nfrom 4 planar arcs. I will
illustrate some ideas in\nthe proof using a graphical user interface
I made for\nthe purpose of studying this problem.
LOCATION:Online talk using Zoom\, Zoom ID 995-0145-8871
URL:https://math.dartmouth.edu/activities/kemeny-lectures/2020-Schwartz.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1de4@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200526T143000
DTEND;TZID=America/New_York:20200526T153000
CATEGORIES:Algebra and Number Theory Seminar
SUMMARY:David Lowry-Duda: The Fibonacci zeta function and modular
forms
DESCRIPTION:In this talk\, we examine the zeta function $\\sum
1/F(n)^s$\, where $F(n)$ is the nth Fibonacci number. We will see
that this zeta function is connected to modular forms\, and in
particular is connected to forms induced from Hecke characters.
We'll investigate some generalizations to related zeta functions.
Finally\, we'll examine a method for counting 3-term arithmetic
progressions of squares\, where my collaborators and I first
observed connections between these zeta functions and modular forms.
This is a description of ongoing work with Chan Ieong Kuan\, Thomas
Hulse\, and Alexander Walker (and perhaps others).
LOCATION:Zoom Meeting\, Zoom Meeting ID: 917 9137 7814
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1ebb@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200530T080000
CATEGORIES:Special Event
SUMMARY:Thayer Mathematics Exam for First-Year Dartmouth Students
DESCRIPTION:Dear first year students: The Thayer Mathematics Exam
for First Year Dartmouth Students is scheduled to be held online on
Saturday May 30\, 2020. If you can not take the exam on this day
please tell us in advance and you will be allowed to take it on
Sunday May 31.\n\nIf you want to register for the exam and to be
able to take the exam\, please send an email to
Vladimir.Chernov@dartmouth.edu by Sunday May 10\, 2020. On the day
of the exam you will receive by email the file with the exam
problems. You will be allowed to work 3 hours on the exam. You will
be taking the exam under the Dartmouth Honors Code and you can not
use or give any help. You also can not use any books\, computers\,
online resources etc. After the end of the 3 hours you stop working
on the exam\, scan the problems into one PDF file and email it to
Vladimir.Chernov@dartmouth.edu. This should be done on the same day
as the day you took the exam.\n\nThe Mathematics Department Prize
fund for this exam is up to $1000 that are to be distributed between
the exam winners. The exam consists of Mathematics Olympiad style
problems. Originality and creativity are heavily weighed.\n\nIf you
register for the exam\, we will send you the exam file containing
the problems from one of the previous exams.
LOCATION:online exam
URL:https://math.dartmouth.edu/activities/undergrad/thayer_prize.php
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e1fab@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200924T153000
CATEGORIES:Math Colloquium
SUMMARY:Sarah Koch: TBA
LOCATION:004 Kemeny
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e207c@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200928T180000
CATEGORIES:Kemeny Lecture
SUMMARY:Nigel Higson: TBA
LOCATION:Kemeny 008
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e2133@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200929T160000
CATEGORIES:Kemeny Lecture
SUMMARY:Nigel Higson: TBA
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e21ea@math.dartmouth.edu
DTSTART;TZID=America/New_York:20200930T160000
CATEGORIES:Kemeny Lecture
SUMMARY:Nigel Higson: TBA
LOCATION:Haldeman 041
END:VEVENT
BEGIN:VEVENT
DTSTAMP:20200526T104701Z
UID:20200526T0647015eccf3a5e22b3@math.dartmouth.edu
DTSTART;TZID=America/New_York:20201105T153000
CATEGORIES:Math Colloquium
SUMMARY:Kasra Rafi: TBA
LOCATION:201 Kemeny
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