## Colloquia

##### Tuesday, September 16, 2014 at 3:30p.m.

**Nina Uraltseva** (*Saint Petersburg State University*)

**Abstract:**The heat equation with the simplest hysteresis operator on the right-hand side will be considered. Such equations describe the so-called processes "with memory" in which various substances interact according to the hysteresis law. Various definitions of solutions will be discussed. The most attention will be paid to the so-called "strong solutions" belonging to the Sobolev class $W^{2,1}_q$ with sufficiently large $q$. For such solutions the optimal regularity, $q=\infty$, is proved outside some "pathological" part of the free boundary. The arguments are based on quadratic growth estimates for solutions near the free boundary.

##### Thursday, September 18, 2014 at 3:30p.m.

**Joel Spencer** (*Courant Institute, NYU*)

**Abstract:**The twentieth century saw the elevation of Discrete Mathematics from "the slums of topology" (one of the more polite expressions!) to its current highly regarded position in the mathematical pantheon. Paul Erdo"s played a key role in this transformation. We call discuss some key results, possibly including: ( i ) Ramsey Theory. In 1946 Erdo"s showed that you could two-color the complete graph on n vertices so as to avoid a monochromatic clique of size k, where n was exponential in k. To do it, he introduced The Probabilistic Method. ( ii ) Two-Coloring. In 1963 Erdo"s showed that given any m<2^{n-1} sets, each of size n, one could two-color the underlying points so that none of the sets were monochromatic. His proof in two words: Color Randomly! There has been much work on larger m. We give a simple algorithm (together with a subtle analysis) of Cherkashin and Kozik that finds a coloring for the best known (so far!) m. ( iii ) Number Theory. In 1940 Erdo"s, with Marc Kac, showed that the number of prime factors of n satisfies (when appropriately defined) a Gaussian distribution. Amazing! ( iv ) Liar Games. Paul tries to find an integer ...

### Monday, 15 September 2014

#### Topology Seminar

#### Automorphic Forms and Number Theory

### Tuesday, 16 September 2014

#### Colloquium

*Regularity properties of solutions to the hysteresis-type problem*at 3:30p.m. in Vin H 16

**Nina Uraltseva**(

*Saint Petersburg State University*)

The heat equation with the simplest hysteresis operator on the right-hand side will be considered. Such equations describe the so-called processes "with memory" in which ...
(more)

### Wednesday, 17 September 2014

#### Math Physics Seminar

*An introduction to moving frames*at 12:20p.m. in VinH 570

**Professor Peter Olver**(

*U of M Mathematics Department*)

#### Algebraic Geometry

*Preparation for Kisin's lectures: p-curvature and the Grothendieck-Katz Conjecture II*at 2:30p.m. in VinH 313

**William Messing**(

*U of M*)

#### Reading Seminar on Automorphic Forms

### Thursday, 18 September 2014

#### Commutative Algebra Seminar

*Cellular binomial ideals*at 11:15a.m. in VinH 203A

**Laura Felicia Matusevich**

A binomial ideal I is cellular if every variable is either nilpotent or a nonzerodivisor modulo I. Since any binomial ideal has an effectively computable ...
(more)

#### Math Club Seminar

*The Mathematician and the Devil*at 12:20p.m. in VinH 570

**Madeline Schrier**(

*University of Minnesota*)

TBA.

#### Colloquium

*Erdo"s Magic*at 3:30p.m. in VinH 16

**Joel Spencer**(

*Courant Institute, NYU*)

The twentieth century saw the elevation of Discrete Mathematics from "the slums of topology" (one of the more polite expressions!) to its current highly regarded ...
(more)

### Friday, 19 September 2014

#### IMA/MCIM Industrial Problems Seminar

#### Combinatorics Problem Session

*All are welcome to pose a short combinatorics problem, or discuss problems posed by others*at 2:30p.m. in VinH 570

**to be announced**

#### Probability Seminar

*The diameter and longest paths in random Apollonian networks*at 2:30p.m. in VinH 207

**Professor Nick Wormald**(

*Monash University*)

Start with a triangle embedded in the plane. In each step, choose a bounded face uniformly at random, add a vertex inside that face and ...
(more)

#### Lie Theory Seminar

*Siegel Domains*at 3:30p.m. in VinH 209

**Professor Dihua Jiang**(

*U of M Mathematics Department*)

To be announced

#### Combinatorics Seminar

*Combinatorics of clans and geometry of B-orbits on GL(n)/(GL(p) x GL(q))*at 3:35p.m. in VinH 570

**Alexander Woo**(

*University of Idaho*)

Many aspects of the combinatorics of Weyl groups turn out to be useful in understanding the geometry of Schubert varieties (which are B-orbit closures) in ...
(more)

#### MCFAM Seminar

*Dr. Zizhuo Wang - A Unified Framework for Dynamic Prediction Market Design*at 5:30p.m. in VinH 16

**Dr. Zizhuo Wang**(

*Department of Industrial Systems Engineering (ISyE), University of Minnesota*)

Recently, coinciding with and perhaps driving the increased popularity of prediction markets, several novel pari-mutuel mechanisms have been developed such as the logarithmic market-scoring rule ...
(more)

### Seminars Not Meeting This Week

**Algebra Reading Seminar**on Thursday at 2:00p.m. in VinH 2.

**AMS Student Chapter seminar**on Wednesday at 12:20p.m. in VinH 301.

**Bobkov Student Seminar**on Thursday at 1:15p.m. in Lind Hall 401.

**Climate Seminar**on Tuesday at 11:15a.m. in Vincent Hall 570.

**Cockburn's Seminar**on Friday at 2:30a.m. in VinH 364.

**Combinatorics Study Group**on Tuesday at 1:25p.m. in VinH 203A.

**Differential Geometry / Symplectic Topology Seminar**on Tuesday at 1:30p.m. in VinH 570.

**Geometric Analysis Learning Seminar**on Tuesday at 3:30p.m. in VinH 206.

**Geometric Analysis Seminar**on Tuesday at 3:30p.m. in VinH 570.

**Graduate Student Seminar**on Friday at 12:15p.m. in VinH 16.

**IMA Postdoc Seminar**on Tuesday at 1:20p.m. in Lind Hall 305.

**IMA Public Lectures**on Wednesday at 7:00p.m. in various locations.

**Industrial Problems Seminar**on Friday at 1:25a.m. in Lind Hall 305.

**Introduction to Research**on Friday at 12:20p.m. in VinH 2.

**Jr. Colloquium**on Wednesday at 12:20p.m. in VinH 16.

**Math Biology Seminar**on Wednesday at 2:30p.m. in VinH 364.

**PDE Seminar**on Wednesday at 3:35p.m. in VinH 206.

**Postdoc Seminar**on Thursday at 4:30p.m. in VinH 570.

**SIAM Student reading group Seminar**on Thursday at 11:00a.m. in VinH 570.

**SIAM Student Seminar**on Wednesday at 1:20a.m. in VinH 570.

**Special Events and Seminars**on Monday at 12:00p.m. in VinH.

**Student Combinatorics Seminar**on Tuesday at 1:30p.m. in FordH 155.

**Student Number Theory Seminar**on Tuesday at 1:15p.m. in VinH 570.

**Student Stochastic Seminar**on Wednesday at 3:00p.m. in VinH 364.

**Student Symplectic and Low Dimensional Topology Seminar**on Wednesday at 3:35a.m. in VinH 2.

**Student Topology Seminar**on Wednesday at 2:30p.m. in VinH 311.