17 OCT 2024
14:00 - 16:00



https://www.arxiv.org/abs/2408.15014
Zoom room information:
https://us06web.zoom.us/j/81916335336?pwd=5zQT4lutMiBoY5Xp1pkFGtbqiaGozg.1
Meeting ID: 819 1633 5336
Passcode: 559618
Venue: Niavaran, Lecture Hall 1

16 OCT 2024
14:00 - 15:00

Quantum topological order is microscopically described by a long-range entanglement in the ground state wave functions. In this regard, it is expected that different topological quantum states are classified by different patterns of the long-range entanglement. In this talk, I introduce a systematic way for characterizing patterns of the long-range entanglement in different topological quantum codes. In particular, I present a universal pattern of the long-range entanglement for toric codes defined on different lattices. Furthermore, I show that the above pattern is different with the pattern of the long-range entanglement in the color code which is in another topological class.


Click the link to join this webinar


https://www.skyroom.online/ch/schoolofnanoscience/weeklyseminars

16 OCT 2024
15:30 - 17:00

The second order elliptic partial differential equations have been studied for more than a century. The most important and basic example of such equations is the Laplace equation. It is a linear equation related to many topics in mathematics and Physics. The main property of such an equation is that solutions of Laplace equations are regular. Another important example of elliptic equations is the Monge-Ampere equation which is fully nonlinear. In contrast to the Laplace equation, the solutions of the Monge-Ampere equation may fail to be smooth. In this talk, we go over basic properties of Monge-Ampere equations. At last we will go over the celebrated results of Caffarelli on interior regularity of solutions of the Monge-Ampere equation.
Venue: Niavaran, Lecture Hall 1

16 OCT 2024
17:30 - 19:00

Tropical geometry is a combinatorial counterpart of algebraic geometry, transforming polynomials into piecewise linear functions and their solutions (varieties) into polyhedral fans. This transformation is intricately linked to the concept of Grobner bases, which provide a powerful tool in computational algebra. Specifically, all possible Grobner bases of an ideal are encoded within a polyhedral fan, with the tropical variety appearing as a subfan. Despite its significance, the computational complexity of tropical varieties often limits computations to small-scale instances. In this talk, we introduce a geometric approach that enables the effective computation of various points within tropical varieties. One application of this method is the computation of toric degenerations, which are important objects in algebraic geometry. These degenerations can be modeled on polytopes, and there exists a dictionary between their geometric properties and the combinatorial invariants of the corresponding polytopes. This dictionary can be extended from toric varieties to arbitrary varieties through toric degenerations.

https://zoom.us/join
Meeting ID: 9086116889
Passcode: 362880
Venue: , (Zoom Lecture)

16 OCT 2024
14:00 - 15:00

As a landmark in probability theory, the Central Limit Theorem (CLT) asserts that the normalized sum of independent and identically distributed random variables with zero mean converges to a Gaussian random variable. Depending on the structure of the underlying distribution, this convergence can be formulated with respect to different topologies or metrics. To name two famous such CLTs, the Lindberg--Levy CLT states convergence in distribution assuming the finiteness of the second moment, and the Berry--Esseen CLT asserts the uniform convergence of cumulative distribution functions at the rate of $O(1/sqrt n)$ assuming the finiteness of the third absolute moment. In this talk, we focus on the CLT in terms of stronger metrics, namely the total variation distance and the relative entropy. In fact, we are interested in the quantum version of CLT in terms of such strong metrics. We prove that the convergence rate of the quantum CLT in terms of the trace distance is $O(1/sqrt{n})$, and in terms of the relative entropy is $O(1/n)$, assuming some conditions on the moments. In the talk we mostly explain the results and techniques in the classical case, to make it accessible for the wide range of audiences of the seminars, and at the end explain the techniques in the quantum case.

Zoom room information:
https://us06web.zoom.us/j/85237260136?pwd=MFSZoKdmRXAjfaSaBzbf19lTaaKglf.1
Meeting ID: 852 3726 0136
Passcode: 362880
Venue: Niavaran, Lecture Hall 1

15 OCT 2024
14:00 - 15:00

Date and time

Tuesday, October 15th, 2024 (Mehr 24th, 1403), 2:00 pm (Tehran zone)



Place : Room D, Farmanieh Building


Abstract
In previous work, we introduced an effective brane-world model for de Sitter space-time with no explicit dependence on brane tension or bulk cosmological constant. In this model the 4D de Sitter space emerges on a brane near the horizon of a 5D black hole. In the current work, we study the effective gravity on the brane beyond the linear level, with an approximate Z2 symmetry assumption, up to a conformal factor, and find that the evolution of the effective cosmological constant on the brane depends on the flux of energy towards and away from the black hole in the bulk. In this setup the presence of the black hole horizon sets the initial condition for the brane's evolution and the brane approaches its null configuration with de Sitter length approximately equal to the 5D Planck's length, as soon as the horizon forms. During the last stages of collapse following this phase (or further flux of matter in the bulk after the horizon is formed), the effective de Sitter length on the brane increases due to the in-falling flux. This phase is tentatively the transition between a low-scale inflationary phase and a late dark energy phase. Also we observe that the increase in the de Sitter length is accompanied with a flux of energy entering the brane due to the jump in the bulk flux across the brane. Considering the initial state of the brane to be in the proper Planck's distance neighborhood of the horizon, the configuration which is below the horizon is Euclidean AdS. This can be interpreted as a boundary proposal for the resulting cosmology.

14 OCT 2024
11:00 - 12:00

Abstract:

Designers and engineers have many options to choose from when con- sidering how to join metals to non- metals for structural, electrical, and pack- aging applications. These options could include mechanical means of fastening such as screws, bolts, rivets and other fasteners, or an elevated-temperature means such as soldering or brazing. Metal-ceramic braz- ing, the topic of this article, is particularly useful for fabricating high-reliability devices such as those used in high-voltage applica- tions or requiring hermetically sealed joints. This article is intended to familiarize the designer with brazing methods commonly used to join metals to ceramics, discuss the advantages and disadvantages of each method, and show the relative tensile strengths obtained from samples fabricated using these methods.

Meeting Place:
Seminar Room, School of Particles and Accelerators, IPM

Link to Join Virtually:
https://www.skyroom.online/ch/ipm-particles/journal-club

9 OCT 2024
14:00 - 15:00

Optimal transport is the problem of moving a mass of objects from an initial mass distribution to a final mass distribution with minimum cost. The input to the problem is the initial and final distributions, as well as the distance metric or cost of transportation between each initial position and each final position. We should match points in the initial mass with points in the final mass so as to minimize the total cost. This problem was first proposed in the context of economics and recently in the context of machine learning to compare and transform probability distributions. I shall mainly talk about these applications.
If I have time, in the second part of the lecture, I will talk about a new method for computing transportations between distributions in high dimensions. This approach is different from previous works in that it does not assume that the distributions are given explicitly. Rather, it assumes that we can just query or sample the distribution (through what is often called an oracle in the computer science literature.) This allows the method to work for inputs that may be exponentially larger than explicitly given inputs. The simple main technique behind our method is to change the components in the initial vector point one by one and as little as possible, while making sure we attain the final distribution. Our method can be turned into a specific algorithm for some parameterized classes of distributions and distance metrics. For each class, our method only guarantees that the transportation cost is not worse than the optimal transport of a worst-case instance among that class up to a constant multiplicative factor. This work is related to previous work on computational concentration of measure, which appeared in the context of adversarial machine learning. The second part of this talk is joint work with Salman Beigi, Mohammad Mahmoody, and Amir Najafi and is work in progress.
Zoom room information:
https://us06web.zoom.us/j/85237260136?pwd=MFSZoKdmRXAjfaSaBzbf19lTaaKglf.1
Meeting ID: 852 3726 0136
Passcode: 362880
Venue: Niavaran, Lecture Hall 1

9 OCT 2024
11:00 - 12:00

Abstract:

The extraction of parton distribution functions (PDFs) and the strong coupling constant relies heavily on physical observables. Utilizing a variety of appropriate data significantly impacts proton PDFs. In this lecture I will first review the procedure for obtaining new PDF sets. Then, it will explain the constraints imposed by experimental data, such as W/Z boson production, Drell-Yan processes, and jet measurements, on various parton distributions. Finally, it will discuss how simulated data for future colliders can improve PDFs and the strong coupling constant.

Link to Join Virtually:
https://meet.google.com/bda-vsem-tuv