Course Description and Grading BreakdownWeekly 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 InformationPlease contact Meagan Heirwegh (156 Linde Hall) with any questions or concerns.
Course Schedule
Date  Speaker  Talk Title  Oct 2  Omer Tamuz  The limits of random walks  Oct 9  Tom Graber  Enumerative geometry and moduli spaces  Oct 16  Yi Ni  The Alexander polynomial of knots and links  Oct 23  Justin Campbell  Weil's Rosetta Stone and the Langlands program  Oct 30  Phil Isett  Failure of energy conservation in fluid dynamics  Nov 6  Alekos Kechris  The pea and the sun  Nov 13  Zavosh AmirKhosravi  Math with Quaternions  Nov 20  Aristotelis Panagiotopoulos  The 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 27  Lei Chen  Circle packing and hyperbolic geometry  Dec 4  Polona Durcik  On some problems in Harmonic Analysis 
