تعارض المواعيد في برنامج المؤتمر.

It is most naturally read as a noun phrase or heading, not as a full sentence with a verb.

A natural English equivalent would be something like:

• Schedule conflict in the conference program
• A scheduling conflict in the conference program

If you wanted to make it a full sentence in Arabic, you could say:

• يوجد تعارضٌ في المواعيد في برنامج المؤتمر
• هناك تعارضٌ في المواعيد في برنامج المؤتمر

Both mean There is a scheduling conflict in the conference program.

Here تعارض means conflict, clash, or overlap.

It is a verbal noun (masdar) from the verb تعارضَ / يتعارضُ, which means to conflict or to be in contradiction / clash.

So in this phrase, تعارض is a noun, not a verb.

In this context, no—the intended reading is as a noun: conflict.

Arabic writing without short vowels can sometimes look ambiguous to learners, but if it were a verb meaning the appointments conflict, Arabic would normally say:

• تتعارض المواعيد

So:

• تعارض المواعيد = conflict of the appointments / scheduling conflict
• تتعارض المواعيد = the appointments conflict

Because تعارض المواعيد is an iḍāfa construction, also called a construct phrase.

In an iḍāfa:

• the first noun does not take ال
• the second noun shows the definiteness

So:

• تعارض المواعيد = literally conflict of the appointments/times

Even without ال on تعارض, the whole phrase can still be definite because المواعيد is definite.

This is very normal in Arabic.

Yes, it is best understood as an iḍāfa.

Word-for-word:

• تعارض = conflict / clash
• المواعيد = the appointments / the scheduled times

So literally it is:

• conflict of the scheduled times

In more natural English, we usually say:

• a scheduling conflict
• a time conflict
• conflicting time slots

The singular موعد can mean several related things, including:

• appointment
• date
• scheduled time
• time slot

The plural المواعيد therefore can mean:

• appointments
• dates
• scheduled times
• time slots

In the context of a conference, it most likely means scheduled times or time slots, not personal appointments.

So here المواعيد is probably best understood as something like the scheduled sessions/times.

Because برنامج المؤتمر is another iḍāfa.

It means:

• برنامج = program
• المؤتمر = the conference

Together:

• برنامج المؤتمر = the conference program or the program of the conference

In Arabic iḍāfa:

• the first noun usually does not take ال
• the second noun can be definite

So:

• برنامج المؤتمر = correct
• البرنامج المؤتمر = not correct for this meaning

Literally, برنامج means program.

But in context it can also mean:

• schedule
• agenda
• program booklet

With conferences, برنامج المؤتمر often refers to the conference schedule/agenda, not just a general abstract program.

So depending on the translation style, you might render it as:

• the conference program
• the conference schedule
• the conference agenda

A simple reading without worrying too much about full case endings is:

• taʿāruḍ al-mawāʿīd fī barnāmaj al-muʾtamar

If fully vocalized in careful MSA, it could be:

• تعارُضُ المواعيدِ في برنامجِ المؤتمرِ
• taʿāruḍu l-mawāʿīdi fī barnāmaji l-muʾtamari

A learner should especially notice:

• ع in تعارض and مواعيد
• the hamza in المؤتمر
• the long vowels in مواعيد and برنامج

If this stands alone as a heading, a likely full vocalization is:

• تعارُضُ المواعيدِ في برنامجِ المؤتمرِ

Why?

• تعارضُ: nominative, if treated as the main heading noun
• المواعيدِ: genitive, because it is the second part of the iḍāfa
• برنامجِ: genitive, because it comes after في
• المؤتمرِ: genitive, because it is the second part of the iḍāfa برنامج المؤتمر

In normal unvocalized Arabic text, these endings are usually not written.

A few natural possibilities are:

• A scheduling conflict in the conference program
• Schedule conflict in the conference program
• Conflicting time slots in the conference schedule

The most natural choice depends on context:

• as a title or heading: Schedule conflict in the conference program
• in running prose: There is a scheduling conflict in the conference program