2018
Oct
24

# Set Theory Seminar (Ross 63)

2:00pm to 3:30pm

## Location:

Ross 63

לאירוע הזה יש שיחת וידאו.

הצטרף: https://meet.google.com/bbc-knox-fds

+1 225-434-0384 קוד גישה: 826117698#

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2018
Oct
24

2:00pm to 3:30pm

Ross 63

לאירוע הזה יש שיחת וידאו.

הצטרף: https://meet.google.com/bbc-knox-fds

+1 225-434-0384 קוד גישה: 826117698#

2018
Dec
18

12:00pm to 1:00pm

Abstract:

We would like present several results in descriptive set theory involving definable equivalence relations on Polish spaces.

Given an equivalence relation E on a polish space X, we would like to study the classification problem of determining whether two objects x,y in X are E-related.

We would like present several results in descriptive set theory involving definable equivalence relations on Polish spaces.

Given an equivalence relation E on a polish space X, we would like to study the classification problem of determining whether two objects x,y in X are E-related.

2018
Nov
06

2:15pm to 3:15pm

Although each cocycle for a action of the integers is

specified by the sequence of Birkhoff sums of a function,

it is relatively difficult to specify cocycles for the actions of

multidimensional groups such as $\Bbb Z^2$.

We'll see that if $(X,T)$ is a transitive action of the finitely

generated (countable) group $\Gamma$ by homeomorphism of the polish space $X$,

and $\Bbb B$ is a separable Banach space, there is a cocycle

$F:\Gamma\times X \to\Bbb B$

with each $x\mapsto F(g,x)$ bounded and continuous

specified by the sequence of Birkhoff sums of a function,

it is relatively difficult to specify cocycles for the actions of

multidimensional groups such as $\Bbb Z^2$.

We'll see that if $(X,T)$ is a transitive action of the finitely

generated (countable) group $\Gamma$ by homeomorphism of the polish space $X$,

and $\Bbb B$ is a separable Banach space, there is a cocycle

$F:\Gamma\times X \to\Bbb B$

with each $x\mapsto F(g,x)$ bounded and continuous

2018
Dec
16

12:00pm to 2:00pm

Ross 70A

Abstract:

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

2018
Dec
23

3:00pm to 5:00pm

Ross 70A

Abstract: I will discuss applications of algebraic results to combinatorics, focusing in particular on Lefschetz theorem, Decomposition theorem and Hodge Riemann relations. Secondly, I will discuss proving these results combinatorially, using a technique by McMullen and extended by de Cataldo and Migliorini. Finally, I will discuss Lefschetz type theorems beyond positivity.

Recommended prerequisites: basic commutative algebra

Recommended prerequisites: basic commutative algebra

2018
Oct
21

12:00pm to 2:00pm

Ross 70A

Abstract:

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

2018
Nov
04

3:00pm to 5:00pm

Ross 70A

Abstract: I will discuss applications of algebraic results to combinatorics, focusing in particular on Lefschetz theorem, Decomposition theorem and Hodge Riemann relations. Secondly, I will discuss proving these results combinatorially, using a technique by McMullen and extended by de Cataldo and Migliorini. Finally, I will discuss Lefschetz type theorems beyond positivity.

Recommended prerequisites: basic commutative algebra

Recommended prerequisites: basic commutative algebra

2019
Jan
13

3:00pm to 5:00pm

Ross 70A

Abstract: I will discuss applications of algebraic results to combinatorics, focusing in particular on Lefschetz theorem, Decomposition theorem and Hodge Riemann relations. Secondly, I will discuss proving these results combinatorially, using a technique by McMullen and extended by de Cataldo and Migliorini. Finally, I will discuss Lefschetz type theorems beyond positivity.

Recommended prerequisites: basic commutative algebra

Recommended prerequisites: basic commutative algebra

2018
Dec
30

12:00pm to 2:00pm

Ross 70A

Abstract:

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

2018
Nov
04

12:00pm to 2:00pm

Ross 70A

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

2018
Nov
18

3:00pm to 5:00pm

Ross 70A

Recommended prerequisites: basic commutative algebra

2019
Jan
06

3:00pm to 5:00pm

Ross 70A

Recommended prerequisites: basic commutative algebra

2018
Nov
18

12:00pm to 2:00pm

Ross 70A

The Chabauty method is a remarkable tool which employs p-adic analitic methods (in particular Colman integration.) To study rational points on curves. However the method can be applied only when the genus of the curve in question is larger than its Mordell-Weil rank. Kim developed a sophisticated "nonableian" generalisation.

We shall present the classical methid, and give an approachable introduction to Kim's method.

I'm basically going to follow http://math.mit.edu/nt/old/stage_s18.html

2018
Dec
02

3:00pm to 5:00pm

Ross 70A

Recommended prerequisites: basic commutative algebra

2018
Oct
14

3:00pm to 5:00pm

Ross 70A

Recommended prerequisites: basic commutative algebra