Frontiers in Mathematics

Course Description and Grading Breakdown
Weekly seminar by a member of the math department or a visitor, to discuss their research at an introductory level. The course aims to introduce students to research areas in mathematics and help them gain an understanding of the scope of the field. 

This course is graded pass/fail and depends entirely on attendance. You must attend 8 of 10 lectures to pass the class. Attendance is determined by the completion of the response form available at https://tinyurl.com/ma20caltech, please submit the form no later than 2pm on the day of the course. Paper copies will also be available in class. If you have to miss a lecture, contact Meagan.

Course Meeting Time and Location
Tuesday
12:00 - 12:55 pm
310 Linde


Contact Information
Please contact Meagan Heirwegh (156 Linde Hall) with any questions or concerns.



Course Schedule

 DateSpeaker  Talk Title
Oct 2Omer TamuzThe limits of random walks
Oct 9Tom GraberEnumerative geometry and moduli spaces
Oct 16Yi NiThe Alexander polynomial of knots and links
Oct 23Justin CampbellWeil's Rosetta Stone and the Langlands program
Oct 30Phil IsettFailure of energy conservation in fluid dynamics
Nov 6Alekos KechrisThe pea and the sun
Nov 13Zavosh Amir-KhosraviMath with Quaternions
Nov 20Aristotelis PanagiotopoulosThe limits of mathematics

From ancient geometry to modern real analysis, mathematics is abundant in problems which cannot be solved within the context they were first conceived. But how does one go about proving such an "impossibility result"? In other words, how can one prove that something is not provable? In an attempt to answer this question, we will examine the close relationship between language and mathematics. After surveying some classical "impossibility results" in geometry and algebra, we will discuss the descriptive limits of our current mathematical theories. 

Nov 27Lei ChenCircle packing and hyperbolic geometry
 Dec 4 Polona DurcikOn some problems in Harmonic Analysis
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Caltech Math,
Dec 4, 2018, 9:55 AM