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- A Generalization of Mordell to Ternary Quadratic Forms — Department of Mathematics and Computer Science

Now Prospective Students Info A Generalization of Mordell to Ternary Quadratic Forms filed under Math CS Club Sarah Blackwell SLU undergrad What Math CS Club When Wed Dec 02 2015 from 04 00 PM to 05 00 PM Where Ritter Lobby Add event to calendar vCal iCal I will be presenting research that I worked on last summer at the Wake Forest Number Theory REU Mordell in 1958 gave a new proof of which integers are representable as the sum of three squares My REU groupmates and I generalized those techniques to characterize the integers represented by the remaining six Ramanujan Dickson ternaries as well as three other ternary forms I will present a summary of our method in this talk which will aim to be accessible to undergraduate students who have not taken number theory Document Actions iCalendar vCalendar Send this Print this Club Email List Sign up here for the Math CS club email list Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29

Original URL path: http://mathcs.slu.edu/math-cs-club/a-generalization-of-mordell-to-ternary-quadratic-forms (2016-02-12)

Open archived version from archive - Replacing the Lower Curvature Bound in Toponogov's Comparison Theorem by a Weaker Condition — Department of Mathematics and Computer Science

Contact Name Dr Khan Add event to calendar vCal iCal Toponogov s triangle comparison theorem and its generalizations are important tools for studying the topology of Riemannian manifolds In these theorems one assumes that the curvature of a given manifold is bounded from below by the curvature of some model surface The models are either of constant curvature or in the generalizations rotationally symmetric about some point One concludes that geodesic triangles in the manifold correspond to geodesic triangles in the model surface which have the same corresponding side lengths but smaller corresponding angles In addition a certain rigidity holds whenever there is equality in one of the corresponding angles the geodesic triangle in the surface embeds totally geodesically and isometrically in the manifold In this talk I will discuss a condition relating the geometry of a Riemannian manifold to that of a model surface which is weaker than usual curvature hypothesis in the generalized Toponogov theorems but yet is strong enough to ensure that a geodesic triangle in the manifold has a corresponding triangle in the model with the same corresponding side lengths but smaller corresponding angles In contrast it is interesting that rigidity fails in this setting This

Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/replacing-the-lower-curvature-bound-in-toponogovs-comparison-theorem-by-a-weaker-condition (2016-02-12)

Open archived version from archive - Generalizing the Kneser Conjecture — Department of Mathematics and Computer Science

Lab Contact Name Dr Khan Add event to calendar vCal iCal The Kneser Conjecture says that if a closed connected 3 manifold M has π 1 M G 1 G 2 then there exist 3 manifolds M 1 and M 2 such that π 1 M i G i and M M 1 M 2 Hillman has generalized this to 4 manifolds at the expense of introducing stabilizing S 2 S 2 factors to M More precisely if a closed connected 4 manifold M has π 1 M G 1 G 2 then there exist 4 manifolds M 1 and M 2 such that π 1 M i G i and M n S 2 S 2 M 1 M 2 for some nonnegative integer n This talk will review these results and then consider a generalization of these theorems to 3 and 4 manifolds with fundamental groups which are amalgamated free products The 3 dimensional case for amalgamated products has been done by Feustel The talk will end with a discussion of progress made in the case that the amalgamation is over a cyclic group of prime order Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist

Original URL path: http://mathcs.slu.edu/seminars/generalizing-the-kneser-conjecture (2016-02-12)

Open archived version from archive - Explicit formulas for the exponential map for special families of deformed space forms — Department of Mathematics and Computer Science

Students Info Explicit formulas for the exponential map for special families of deformed space forms filed under PhD Oral Defense James J Munden Saint Louis University What PhD Oral Defense When Fri Nov 20 2015 from 03 00 PM to 05 00 PM Where Ritter Hall 216 Add event to calendar vCal iCal Abstract Expressing the geodesics of a Riemannian manifold in terms of elementary functions is usually impossible We will investigate a method that produces new Riemannian metrics by deforming an old Riemannian metric that is invariant under the action of a subgroup of the special orthgonal group The method will be applied to Euclidean space the unit sphere and hyperbolic space in order to produce Riemannian metrics all of whose geodesics can be expressed in terms of elementary functions and we will give explicit formulas for the geodesics obtained by deforming the metrics associated to these simply connected space forms Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12

Original URL path: http://mathcs.slu.edu/seminars/explicit-formulas-for-the-exponential-map-for-special-families-of-deformed-space-forms (2016-02-12)

Open archived version from archive - Weaving frames and bases for Banach spaces. — Department of Mathematics and Computer Science

Arts Sciences Home Apply Now Prospective Students Info Weaving frames and bases for Banach spaces filed under Analysis Seminar Daniel Freeman SLU What Analysis Seminar When Thu Nov 19 2015 from 12 00 PM to 01 00 PM Where Ritter Hall 229 Add event to calendar vCal iCal Given two frames or bases for a Banach space we want to study when parts of one of the coordinate systems can be used to replace parts of the other A recent paper by Bemrose Casazza Gröchenig Lammers and Lynch introduces this problem in the specific setting of Hilbert spaces We will present the basic concepts of weaving coordinate systems in the general Banach space setting present some theorems and give some counterexamples of where things can fail This is joint work with Pete Casazza and Richard Lynch The talk will be accessible to graduate students Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20

Original URL path: http://mathcs.slu.edu/seminars/analysis-seminar/weaving-frames-and-bases-for-banach-spaces (2016-02-12)

Open archived version from archive - Making a game in Unity, part 3 and programming contest info — Department of Mathematics and Computer Science

SLU Home Arts Sciences Home Apply Now Prospective Students Info Making a game in Unity part 3 and programming contest info filed under Math CS Club Saddha Santanaporn SLU undergrad What Math CS Club When Wed Nov 18 2015 from 04 00 PM to 05 00 PM Where Ritter Lobby Add event to calendar vCal iCal We will be making a clone of flappy bird from scratch using Unity From that you will learn about the basics of Unity and simple C scripting so you can start making the game of your dream in the future This will be the final part of a 3 week project We will also discuss Al Zimmermann s Programming Contest which anyone can participate in You can read about the problem here http azspcs com Contest SumsAndProducts Document Actions iCalendar vCalendar Send this Print this Club Email List Sign up here for the Math CS club email list Email address Your name February 2016 February Su Mo Tu We Th Fr Sa 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 Upcoming Events Geometry

Original URL path: http://mathcs.slu.edu/math-cs-club/making-a-game-in-unity-part-3-and-programming-contest-info (2016-02-12)

Open archived version from archive - Orbifold Morse Functions and Associated Handle Decompositions — Department of Mathematics and Computer Science

What PhD Oral Exam Geometry Topology Seminar Topology Seminar When Tue Nov 17 2015 from 11 00 AM to 12 00 PM Where 323 Ritter Hall Contact Name Dr Khan Add event to calendar vCal iCal Morse theory has been an indispensable tool in the study of manifolds but its generalization to orbifolds has gone mostly undeveloped until the past decade I will discuss the basic definitions surrounding Morse theory for orbifolds particularly the index of an orbifold critical point and show some examples which convey the correspondence between orbifold Morse functions and orbifold handle decompositions A particular emphasis will be placed on oriented 3 dimensional orbifolds where we will see a list of 20 distinct handle types I will provide a Morse function for an orbifold three sphere whose singular locus is a set of Borromean rings and we will look at the corresponding handle decomposition This example has the property that the singular orbifold handle attachments will affect the orbifold structure without altering the topology of the underlying space Document Actions iCalendar vCalendar Send this Print this Subscribe to Talklist Sign up here for a weekly email of upcoming department events Email address Your name February 2016 February

Original URL path: http://mathcs.slu.edu/seminars/topology-seminar/orbifold-morse-functions-and-associated-handle-decompositions (2016-02-12)

Open archived version from archive - Past Events — Department of Mathematics and Computer Science

and the Sage Dynamics Project Ben Hutz SLU Ritter Lobby from Oct 14 2015 04 00 PM to Oct 14 2015 05 00 PM Geometry Topology Seminar Asphericity Results for Labeled Oriented Tree Complexes by Dr Anthony Bedenikovic of Bradley U 225 Ritter Hall from Oct 13 2015 02 10 PM to Oct 13 2015 03 00 PM Math CS Club Live in person build a computer third and final event Antanas Siliunas SLU undergrad Ritter Lobby from Oct 07 2015 04 00 PM to Oct 07 2015 05 00 PM Geometry Topology Seminar Null Distance on a Spacetime II by Dr Carlos Vega of Saint Louis U 225 Ritter Hall from Oct 06 2015 02 10 PM to Oct 06 2015 03 00 PM Analysis Seminar Euclidean Embeddings of Snowflake Metric Spaces by Marie Snipes Kenyon College Ritter Hall 229 from Sep 25 2015 04 00 PM to Sep 25 2015 05 00 PM Analysis Seminar Functions of bounded variation in metric setting an introduction by Nageswari Shanmugalingam of University of Cincinnati Ritter Hall 229 from Sep 24 2015 11 00 AM to Sep 24 2015 12 00 PM Math CS Club Live in person build a computer part 2 Antanas Siliunas SLU undergrad Ritter Lobby from Sep 23 2015 04 00 PM to Sep 23 2015 05 00 PM Algebra Seminar An Introduction to Arithmetic Dynamics and the Sage Dynamics Project Ben Hutz St Louis University 236 Ritter Hall from Sep 22 2015 03 10 PM to Sep 22 2015 04 00 PM Geometry Topology Seminar Null Distance on a Spacetime by Dr Carlos Vega of Saint Louis U 225 Ritter Hall from Sep 22 2015 02 10 PM to Sep 22 2015 03 00 PM Math CS Club Live in person build a computer Antanas Siliunas SLU

Original URL path: http://mathcs.slu.edu/events/aggregator/previous/atct_topic_view?b_start:int=20&-C= (2016-02-12)

Open archived version from archive