BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Department of Mathematics - ECPv5.4.0//NONSGML v1.0//EN
CALSCALE:GREGORIAN
METHOD:PUBLISH
X-WR-CALNAME:Department of Mathematics
X-ORIGINAL-URL:https://math.sciences.ncsu.edu
X-WR-CALDESC:Events for Department of Mathematics
BEGIN:VTIMEZONE
TZID:America/New_York
BEGIN:DAYLIGHT
TZOFFSETFROM:-0500
TZOFFSETTO:-0400
TZNAME:EDT
DTSTART:20210314T070000
END:DAYLIGHT
BEGIN:STANDARD
TZOFFSETFROM:-0400
TZOFFSETTO:-0500
TZNAME:EST
DTSTART:20211107T060000
END:STANDARD
END:VTIMEZONE
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20210113T160000
DTEND;TZID=America/New_York:20210113T170000
DTSTAMP:20210307T014808
CREATED:20210106T161508Z
LAST-MODIFIED:20210111T141449Z
UID:18724-1610553600-1610557200@math.sciences.ncsu.edu
SUMMARY:Martin Helmer\, Effective Methods in Algebraic Geometry and Applications
DESCRIPTION:At its most basic\, algebraic geometry studies algebraic varieties; that is\, the solution sets of systems of polynomial equations. In this talk our focus is on developing a concrete understanding of the geometry and topology of varieties and using this understanding to obtain practical and effective computational methods. Such methods may then in turn be used to solve problems arising in science and engineering. \nIn particular\, we will look at a method to compute Segre classes of pairs of varieties and explain how this gives rise to a new technique to test if one variety is contained in another. \nAs an application we will consider an engineering problem arising in mechanism design\, known as Alt’s problem\, which asks how many four-bar linkages there are whose coupler curve interpolates nine general points in the plane. \nFinally\, we will explore results which help to understand the geometric and topological influence of singular points (e.g.\, cusps\, nodes\, etc.) on a variety by giving relations between the relative global geometry of the variety and its local topology near the singularity. This will in turn provide novel approaches to computing certain invariants of sets of singular points inside a variety. \n\nZoom Link: https://ncsu.zoom.us/j/97349764576?pwd=RG13bm90bC9haGlzcElWM3dvKzFrdz09\n\nWebsite: http://martin-helmer.com/\nhttps://maths.anu.edu.au/people/academics/martin-helmer \n
URL:https://math.sciences.ncsu.edu/event/martin-helmer/
LOCATION:Zoom
CATEGORIES:Special Seminar
END:VEVENT
END:VCALENDAR