See webpage for details.
Dienstag, 16.4.19, 09:00-10:00, Raum 404, Ernst-Zermelo-Str. 1
A Theory of FinTech
Dienstag, 16.4.19, 14:00-15:00, Raum 232, Ernst-Zermelo-Str. 1
In this talk I will give a brief overview of current academic research on Fintech by using tools from mathematics and statistics. The topics to be discussed include: (1) P2P equity financing: how to design contracts suitable for a P2P equity financing platform with information asymmetry. (2) Designing stable coins: how to design stable cryptocurrency by using option pricing theory. (3) Crowd wisdom and prediction markets: how to use the collective opinion of a group to make predictions. (4) Data privacy preservation: how to do econometrics based on the encrypted data while still preserving privacy. All the above 4 topics are based on my recent papers.
See webpage for details.
Mittwoch, 17.4.19, 09:00-10:00, Raum 404, Ernst-Zermelo-Str. 1
See webpage for details.
Donnerstag, 18.4.19, 09:00-10:00, Raum 404, Ernst-Zermelo-Str. 1
Pure mathematics in crisis?
Donnerstag, 25.4.19, 17:00-18:00, Hörsaal II, Albertstr. 23b
What is a rigorous mathematical proof? In mathematics\ndepartments we teach the undergraduates the answer to this question: a\nproof is a series of logical deductions, each one justified by\nprevious conclusions and the axioms of mathematics. In my talk I will\nargue that the "proofs" that we produce in our research are not of\nthis nature at all. The main reason for this is that mathematical\nproofs in the literature are written by humans, and hence contain\nomissions (often) and errors (occasionally). Some of the errors are\nunfixable, and some of the omissions are serious. I will speak about\npractical consequences of this, giving explicit examples of issues\nacross pure mathematics. Many modern proofs rely on ideas which are\n"known to the experts", and sometimes there is no satisfactory\ntreatment of these ideas in the literature. In some cases these\nexperts are dying out and are not being replaced. If our work is not\nreproducible, is it actually mathematics?\n\nI used to be an algebraic number theorist until recently, but after I\nbegan to worry about these issues I spent a year learning how computer\nscientists do formally verified mathematics using computer proof\nsystems. Not only did this change the way I thought about research but\nit also changed the way I taught. I now use these computer tools as\npart of our basic introduction to proof course at Imperial College\nLondon.\n\nI will talk about the problems I believe are facing pure mathematics,\nand to what extent computers can help to solve them.\n
The classification of R-subgroups of the finite dimensional Beidleman near vector spaces
Montag, 29.4.19, 14:00-15:00, Raum 404, Ernst-Zermelo-Str. 1
Several researchers named Beidleman, Andre, Karzel and Whaling have introduced in different ways the theory of near-vector spaces.\nOur focus will be on the type of near vector spaces originally defined by Beidleman which uses the near-ring modules in the construction. In this talk we shall\nderive the finite dimensional Beidleman near-vector spaces and also present an algorithm that classifies its R-subgroups.
Weighted Hurwitz numbers and topological recursion
Montag, 29.4.19, 16:15-17:15, Raum 404, Ernst-Zermelo-Str. 1
In my talk I will discuss some elements of the proof of the\ntopological recursion for the weighted Hurwitz numbers. The main\ningredient is the tau-function - the all genera generating function,\nwhich is a solution of the integrable KP or Toda hierarchy. My talk is\nbased on a series of joint papers with G. Chapuy, B. Eynard, and J.\nHarnad.\n
Magnetic Domains in Thin Ferromagnetic Films with Strong Perpendicular Anisotropy
Dienstag, 30.4.19, 14:15-15:15, Raum 226, Hermann-Herder-Str. 10